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Deck 8: Radical Expressions and Equations

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Question
Evaluate the radical expression for the given value of the variable. If the square root does not exist write not real as the answer. Evaluate the radical expression for the given value of the variable. If the square root does not exist write not real as the answer. for <div style=padding-top: 35px> for Evaluate the radical expression for the given value of the variable. If the square root does not exist write not real as the answer. for <div style=padding-top: 35px>
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Question
The square root of a number might be negative zero or positive.
Question
Simplify the expression. Assume that the variable has positive values. <strong>Simplify the expression. Assume that the variable has positive values. </strong> A) B) C) D) <div style=padding-top: 35px>

A) <strong>Simplify the expression. Assume that the variable has positive values. </strong> A) B) C) D) <div style=padding-top: 35px>
B) <strong>Simplify the expression. Assume that the variable has positive values. </strong> A) B) C) D) <div style=padding-top: 35px>
C) <strong>Simplify the expression. Assume that the variable has positive values. </strong> A) B) C) D) <div style=padding-top: 35px>
D) <strong>Simplify the expression. Assume that the variable has positive values. </strong> A) B) C) D) <div style=padding-top: 35px>
Question
Simplify the expression. Assume that the variable has positive values. <strong>Simplify the expression. Assume that the variable has positive values. </strong> A) B) C) D) not real <div style=padding-top: 35px>

A) <strong>Simplify the expression. Assume that the variable has positive values. </strong> A) B) C) D) not real <div style=padding-top: 35px>
B) <strong>Simplify the expression. Assume that the variable has positive values. </strong> A) B) C) D) not real <div style=padding-top: 35px>
C) <strong>Simplify the expression. Assume that the variable has positive values. </strong> A) B) C) D) not real <div style=padding-top: 35px>
D) not real
Question
The length of a side of a cube x and the volume of the cube V are related by the equation <strong>The length of a side of a cube x and the volume of the cube V are related by the equation . If the cube has volume what is the length of the side x of the cube? Round to two decimal places.</strong> A) 4.17 in B) 2.32 in C) 4.16 in D) 3.54 in <div style=padding-top: 35px> . If the cube has volume <strong>The length of a side of a cube x and the volume of the cube V are related by the equation . If the cube has volume what is the length of the side x of the cube? Round to two decimal places.</strong> A) 4.17 in B) 2.32 in C) 4.16 in D) 3.54 in <div style=padding-top: 35px> what is the length of the side x of the cube? Round to two decimal places.

A) 4.17 in
B) 2.32 in
C) 4.16 in
D) 3.54 in
Question
When police measure the length of a skid mark made by a car involved in an accident on a nearby road the police determine the speed s of the car (in mph) by the following equation: <strong>When police measure the length of a skid mark made by a car involved in an accident on a nearby road the police determine the speed s of the car (in mph) by the following equation: where d is the length of the skid mark in feet. What was the speed of the car when the length of the skid mark was 125 feet? Round to two decimal places.</strong> A) 46.88 mph B) 50.00 mph C) 53.03 mph D) 53.33 mph <div style=padding-top: 35px> where d is the length of the skid mark in feet. What was the speed of the car when the length of the skid mark was 125 feet? Round to two decimal places.

A) 46.88 mph
B) 50.00 mph
C) 53.03 mph
D) 53.33 mph
Question
The distance of the line segment between two points The distance of the line segment between two points and is <div style=padding-top: 35px> and The distance of the line segment between two points and is <div style=padding-top: 35px> is The distance of the line segment between two points and is <div style=padding-top: 35px>
Question
Simplify the expression. Assume that the variable has positive values. <strong>Simplify the expression. Assume that the variable has positive values. </strong> A) B) C) D) <div style=padding-top: 35px>

A) <strong>Simplify the expression. Assume that the variable has positive values. </strong> A) B) C) D) <div style=padding-top: 35px>
B) <strong>Simplify the expression. Assume that the variable has positive values. </strong> A) B) C) D) <div style=padding-top: 35px>
C) <strong>Simplify the expression. Assume that the variable has positive values. </strong> A) B) C) D) <div style=padding-top: 35px>
D) <strong>Simplify the expression. Assume that the variable has positive values. </strong> A) B) C) D) <div style=padding-top: 35px>
Question
Evaluate the radical expression for the given value of the variable. If the square root does not exist select not real as the answer. <strong>Evaluate the radical expression for the given value of the variable. If the square root does not exist select not real as the answer. for </strong> A) B) C) D) not real <div style=padding-top: 35px> for <strong>Evaluate the radical expression for the given value of the variable. If the square root does not exist select not real as the answer. for </strong> A) B) C) D) not real <div style=padding-top: 35px>

A) <strong>Evaluate the radical expression for the given value of the variable. If the square root does not exist select not real as the answer. for </strong> A) B) C) D) not real <div style=padding-top: 35px>
B) <strong>Evaluate the radical expression for the given value of the variable. If the square root does not exist select not real as the answer. for </strong> A) B) C) D) not real <div style=padding-top: 35px>
C) <strong>Evaluate the radical expression for the given value of the variable. If the square root does not exist select not real as the answer. for </strong> A) B) C) D) not real <div style=padding-top: 35px>
D) not real
Question
Simplify the expression. Assume that the variable has positive values. <strong>Simplify the expression. Assume that the variable has positive values. </strong> A) B) C) D) <div style=padding-top: 35px>

A) <strong>Simplify the expression. Assume that the variable has positive values. </strong> A) B) C) D) <div style=padding-top: 35px>
B) <strong>Simplify the expression. Assume that the variable has positive values. </strong> A) B) C) D) <div style=padding-top: 35px>
C) <strong>Simplify the expression. Assume that the variable has positive values. </strong> A) B) C) D) <div style=padding-top: 35px>
D) <strong>Simplify the expression. Assume that the variable has positive values. </strong> A) B) C) D) <div style=padding-top: 35px>
Question
If a ball is dropped from a height of h feet it takes t seconds to hit the ground which is modeled by the equation <strong>If a ball is dropped from a height of h feet it takes t seconds to hit the ground which is modeled by the equation . How long will it take the ball to hit the ground when it is dropped from 130 feet? Round to two decimal places if necessary.</strong> A) 2.80 sec B) 0.71 sec C) 2.85 sec D) 8.125 sec <div style=padding-top: 35px> . How long will it take the ball to hit the ground when it is dropped from 130 feet? Round to two decimal places if necessary.

A) 2.80 sec
B) 0.71 sec
C) 2.85 sec
D) 8.125 sec
Question
The square root of a negative number is not a real number.
Question
Evaluate the radical expression for the given value of the variable. If the square root does not exist select not real as the answer. <strong>Evaluate the radical expression for the given value of the variable. If the square root does not exist select not real as the answer. for </strong> A) B) 3 C) D) not real <div style=padding-top: 35px> for <strong>Evaluate the radical expression for the given value of the variable. If the square root does not exist select not real as the answer. for </strong> A) B) 3 C) D) not real <div style=padding-top: 35px>

A) <strong>Evaluate the radical expression for the given value of the variable. If the square root does not exist select not real as the answer. for </strong> A) B) 3 C) D) not real <div style=padding-top: 35px>
B) 3
C) <strong>Evaluate the radical expression for the given value of the variable. If the square root does not exist select not real as the answer. for </strong> A) B) 3 C) D) not real <div style=padding-top: 35px>
D) not real
Question
Evaluate the radical expression for the given value of the variable. If the square root does not exist select not real as the answer. <strong>Evaluate the radical expression for the given value of the variable. If the square root does not exist select not real as the answer. for </strong> A) B) C) D) not real <div style=padding-top: 35px> for <strong>Evaluate the radical expression for the given value of the variable. If the square root does not exist select not real as the answer. for </strong> A) B) C) D) not real <div style=padding-top: 35px>

A) <strong>Evaluate the radical expression for the given value of the variable. If the square root does not exist select not real as the answer. for </strong> A) B) C) D) not real <div style=padding-top: 35px>
B) <strong>Evaluate the radical expression for the given value of the variable. If the square root does not exist select not real as the answer. for </strong> A) B) C) D) not real <div style=padding-top: 35px>
C) <strong>Evaluate the radical expression for the given value of the variable. If the square root does not exist select not real as the answer. for </strong> A) B) C) D) not real <div style=padding-top: 35px>
D) not real
Question
Find the distance between the points <strong>Find the distance between the points . Round to two decimal places if necessary.</strong> A) 29 B) 5.38 C) 5.39 D) 3.07 <div style=padding-top: 35px> . Round to two decimal places if necessary.

A) 29
B) 5.38
C) 5.39
D) 3.07
Question
If a ball is dropped from a height of h feet it takes t seconds to hit the ground which is modeled by the equation <strong>If a ball is dropped from a height of h feet it takes t seconds to hit the ground which is modeled by the equation . How long will it take the ball to hit the ground when it is dropped from 100 feet? Round to two decimal places if necessary.</strong> A) 6.25 sec B) 2.50 sec C) 2.00 sec D) 0.63 sec <div style=padding-top: 35px> . How long will it take the ball to hit the ground when it is dropped from 100 feet? Round to two decimal places if necessary.

A) 6.25 sec
B) 2.50 sec
C) 2.00 sec
D) 0.63 sec
Question
Find the distance between the points <strong>Find the distance between the points . Round to two decimal places if necessary.</strong> A) 17.50 B) 17.49 C) 6.74 D) 306 <div style=padding-top: 35px> . Round to two decimal places if necessary.

A) 17.50
B) 17.49
C) 6.74
D) 306
Question
The profit P in dollars that you earn from selling n cupcakes is given by <strong>The profit P in dollars that you earn from selling n cupcakes is given by . How much profit will you earn from selling 14 cupcakes? Round to the nearest cent.</strong> A) $6.71 B) $6.70 C) $15.92 D) $15.91 <div style=padding-top: 35px> . How much profit will you earn from selling 14 cupcakes? Round to the nearest cent.

A) $6.71
B) $6.70
C) $15.92
D) $15.91
Question
Evaluate the radical expression for the given value of the variable. If the square root does not exist select not real as the answer. <strong>Evaluate the radical expression for the given value of the variable. If the square root does not exist select not real as the answer. for </strong> A) B) C) 3.3 D) not real <div style=padding-top: 35px> for <strong>Evaluate the radical expression for the given value of the variable. If the square root does not exist select not real as the answer. for </strong> A) B) C) 3.3 D) not real <div style=padding-top: 35px>

A) <strong>Evaluate the radical expression for the given value of the variable. If the square root does not exist select not real as the answer. for </strong> A) B) C) 3.3 D) not real <div style=padding-top: 35px>
B) <strong>Evaluate the radical expression for the given value of the variable. If the square root does not exist select not real as the answer. for </strong> A) B) C) 3.3 D) not real <div style=padding-top: 35px>
C) 3.3
D) not real
Question
A radical equation has a variable expression under the radical.
Question
If a ball is dropped from a height of h feet it takes t seconds to hit the ground which is modeled by the equation If a ball is dropped from a height of h feet it takes t seconds to hit the ground which is modeled by the equation . How long will it take the ball to hit the ground when it is dropped from 64 feet? Round to two decimal places if necessary.<div style=padding-top: 35px> . How long will it take the ball to hit the ground when it is dropped from 64 feet? Round to two decimal places if necessary.
Question
Evaluate the radical expression for the given value of the variable. If the square root does not exist write not real as the answer. Evaluate the radical expression for the given value of the variable. If the square root does not exist write not real as the answer. for <div style=padding-top: 35px> for Evaluate the radical expression for the given value of the variable. If the square root does not exist write not real as the answer. for <div style=padding-top: 35px>
Question
If a ball is dropped from a height of h feet it takes t seconds to hit the ground which is modeled by the equation If a ball is dropped from a height of h feet it takes t seconds to hit the ground which is modeled by the equation . How long will it take the ball to hit the ground when it is dropped from 90 feet? Round to two decimal places if necessary.<div style=padding-top: 35px> . How long will it take the ball to hit the ground when it is dropped from 90 feet? Round to two decimal places if necessary.
Question
Evaluate the radical expression for the given value of the variable. If the square root does not exist write not real as the answer. Evaluate the radical expression for the given value of the variable. If the square root does not exist write not real as the answer. for <div style=padding-top: 35px> for Evaluate the radical expression for the given value of the variable. If the square root does not exist write not real as the answer. for <div style=padding-top: 35px>
Question
If a ball is dropped from a height of s feet it takes t seconds to hit the ground which is modeled by the equation If a ball is dropped from a height of s feet it takes t seconds to hit the ground which is modeled by the equation . How long will it take the ball to hit the ground when it is dropped from 144 feet? Round to two decimal places if necessary.<div style=padding-top: 35px> . How long will it take the ball to hit the ground when it is dropped from 144 feet? Round to two decimal places if necessary.
Question
Suppose that a cylinder has a height of 8 cm. The volume of this cylinder is related to the radius of its base by the equation Suppose that a cylinder has a height of 8 cm. The volume of this cylinder is related to the radius of its base by the equation where V is its volume in . Find the radius r of this cylinder if its volume is . Round to two decimal places if necessary.<div style=padding-top: 35px> where V is its volume in Suppose that a cylinder has a height of 8 cm. The volume of this cylinder is related to the radius of its base by the equation where V is its volume in . Find the radius r of this cylinder if its volume is . Round to two decimal places if necessary.<div style=padding-top: 35px> . Find the radius r of this cylinder if its volume is Suppose that a cylinder has a height of 8 cm. The volume of this cylinder is related to the radius of its base by the equation where V is its volume in . Find the radius r of this cylinder if its volume is . Round to two decimal places if necessary.<div style=padding-top: 35px> . Round to two decimal places if necessary.
Question
The distance in miles d that can be seen on the surface of the earth is given by The distance in miles d that can be seen on the surface of the earth is given by where h is the height in feet of a person standing on the earth. How far can a person see if the person is 81 feet above the ground? Round to two decimal places if necessary.<div style=padding-top: 35px> where h is the height in feet of a person standing on the earth. How far can a person see if the person is 81 feet above the ground? Round to two decimal places if necessary.
Question
Simplify the expression. Assume that the variable has positive values. Simplify the expression. Assume that the variable has positive values. <div style=padding-top: 35px>
Question
Evaluate the radical expression for the given value of the variable. If the square root does not exist write not real as the answer. Evaluate the radical expression for the given value of the variable. If the square root does not exist write not real as the answer. for <div style=padding-top: 35px> for Evaluate the radical expression for the given value of the variable. If the square root does not exist write not real as the answer. for <div style=padding-top: 35px>
Question
Simplify the expression. Assume that the variable has positive values. Simplify the expression. Assume that the variable has positive values. <div style=padding-top: 35px>
Question
Find the distance between the points Find the distance between the points . Round to two decimal places if necessary.<div style=padding-top: 35px> . Round to two decimal places if necessary.
Question
The distance in miles d that can be seen on the surface of the earth is given by The distance in miles d that can be seen on the surface of the earth is given by where h is the height in feet of a person standing on the earth. How far can a person see if the person is 5ft 6 in tall? Round to two decimal places if necessary.<div style=padding-top: 35px> where h is the height in feet of a person standing on the earth. How far can a person see if the person is 5ft 6 in tall? Round to two decimal places if necessary.
Question
Simplify the expression. Assume that the variable has positive values. Simplify the expression. Assume that the variable has positive values. <div style=padding-top: 35px>
Question
Simplify the expression. Assume that the variable has positive values. Simplify the expression. Assume that the variable has positive values. <div style=padding-top: 35px>
Question
Find the distance between the points Find the distance between the points . Round to two decimal places if necessary.<div style=padding-top: 35px> . Round to two decimal places if necessary.
Question
Simplify the expression. Assume that the variable has positive values. Simplify the expression. Assume that the variable has positive values. <div style=padding-top: 35px>
Question
Find the distance between the points Find the distance between the points . Round to two decimal places if necessary.<div style=padding-top: 35px> . Round to two decimal places if necessary.
Question
Simplify the expression. Assume that the variable has positive values. Simplify the expression. Assume that the variable has positive values. <div style=padding-top: 35px>
Question
If a ball is dropped from a height of s feet it takes t seconds to hit the ground which is modeled by the equation If a ball is dropped from a height of s feet it takes t seconds to hit the ground which is modeled by the equation . How long will it take the ball to hit the ground when it is dropped from 196 feet? Round to two decimal places if necessary.<div style=padding-top: 35px> . How long will it take the ball to hit the ground when it is dropped from 196 feet? Round to two decimal places if necessary.
Question
Evaluate the radical expression for the given value of the variable. If the square root does not exist write not real as the answer. Evaluate the radical expression for the given value of the variable. If the square root does not exist write not real as the answer. for <div style=padding-top: 35px> for Evaluate the radical expression for the given value of the variable. If the square root does not exist write not real as the answer. for <div style=padding-top: 35px>
Question
Find the perimeter of the geometric shape. The length is <strong>Find the perimeter of the geometric shape. The length is and the width is . Simplify. </strong> A) 98 B) C) 21 D) <div style=padding-top: 35px> and the width is <strong>Find the perimeter of the geometric shape. The length is and the width is . Simplify. </strong> A) 98 B) C) 21 D) <div style=padding-top: 35px> . Simplify. <strong>Find the perimeter of the geometric shape. The length is and the width is . Simplify. </strong> A) 98 B) C) 21 D) <div style=padding-top: 35px>

A) 98
B) <strong>Find the perimeter of the geometric shape. The length is and the width is . Simplify. </strong> A) 98 B) C) 21 D) <div style=padding-top: 35px>
C) 21
D) <strong>Find the perimeter of the geometric shape. The length is and the width is . Simplify. </strong> A) 98 B) C) 21 D) <div style=padding-top: 35px>
Question
Simplify the radical expression. Assume that all variables under the radical represents positive values. <strong>Simplify the radical expression. Assume that all variables under the radical represents positive values. </strong> A) B) C) D) <div style=padding-top: 35px>

A) <strong>Simplify the radical expression. Assume that all variables under the radical represents positive values. </strong> A) B) C) D) <div style=padding-top: 35px>
B) <strong>Simplify the radical expression. Assume that all variables under the radical represents positive values. </strong> A) B) C) D) <div style=padding-top: 35px>
C) <strong>Simplify the radical expression. Assume that all variables under the radical represents positive values. </strong> A) B) C) D) <div style=padding-top: 35px>
D) <strong>Simplify the radical expression. Assume that all variables under the radical represents positive values. </strong> A) B) C) D) <div style=padding-top: 35px>
Question
You __________ You __________ as 15.81.<div style=padding-top: 35px> as 15.81.
Question
Simplify the radical then approximate it to two decimal places. <strong>Simplify the radical then approximate it to two decimal places. </strong> A) 15.81 B) 7.07 C) 15.81 D) 7.07 <div style=padding-top: 35px>

A) <strong>Simplify the radical then approximate it to two decimal places. </strong> A) 15.81 B) 7.07 C) 15.81 D) 7.07 <div style=padding-top: 35px> 15.81
B) <strong>Simplify the radical then approximate it to two decimal places. </strong> A) 15.81 B) 7.07 C) 15.81 D) 7.07 <div style=padding-top: 35px> 7.07
C) <strong>Simplify the radical then approximate it to two decimal places. </strong> A) 15.81 B) 7.07 C) 15.81 D) 7.07 <div style=padding-top: 35px> 15.81
D) <strong>Simplify the radical then approximate it to two decimal places. </strong> A) 15.81 B) 7.07 C) 15.81 D) 7.07 <div style=padding-top: 35px> 7.07
Question
You __________ You __________ as .<div style=padding-top: 35px> as You __________ as .<div style=padding-top: 35px> .
Question
Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. <strong>Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. </strong> A) B) C) 3.32 D) -3.32 <div style=padding-top: 35px>

A) <strong>Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. </strong> A) B) C) 3.32 D) -3.32 <div style=padding-top: 35px>
B) <strong>Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. </strong> A) B) C) 3.32 D) -3.32 <div style=padding-top: 35px>
C) 3.32
D) -3.32
Question
If two radical expressions are ready to be added or subtracted the expressions are __________.
Question
Simplify the radical expression. Assume that all variables under the radical represents positive values. <strong>Simplify the radical expression. Assume that all variables under the radical represents positive values. </strong> A) B) C) D) <div style=padding-top: 35px>

A) <strong>Simplify the radical expression. Assume that all variables under the radical represents positive values. </strong> A) B) C) D) <div style=padding-top: 35px>
B) <strong>Simplify the radical expression. Assume that all variables under the radical represents positive values. </strong> A) B) C) D) <div style=padding-top: 35px>
C) <strong>Simplify the radical expression. Assume that all variables under the radical represents positive values. </strong> A) B) C) D) <div style=padding-top: 35px>
D) <strong>Simplify the radical expression. Assume that all variables under the radical represents positive values. </strong> A) B) C) D) <div style=padding-top: 35px>
Question
Simplify the radical then approximate it to two decimal places. <strong>Simplify the radical then approximate it to two decimal places. </strong> A) 16.97 B) 33.94 C) 16.97 D) 33.94 <div style=padding-top: 35px>

A) <strong>Simplify the radical then approximate it to two decimal places. </strong> A) 16.97 B) 33.94 C) 16.97 D) 33.94 <div style=padding-top: 35px> 16.97
B) <strong>Simplify the radical then approximate it to two decimal places. </strong> A) 16.97 B) 33.94 C) 16.97 D) 33.94 <div style=padding-top: 35px> 33.94
C) <strong>Simplify the radical then approximate it to two decimal places. </strong> A) 16.97 B) 33.94 C) 16.97 D) 33.94 <div style=padding-top: 35px> 16.97
D) <strong>Simplify the radical then approximate it to two decimal places. </strong> A) 16.97 B) 33.94 C) 16.97 D) 33.94 <div style=padding-top: 35px> 33.94
Question
Find the perimeter of the isosceles triangle. The sides are each <strong>Find the perimeter of the isosceles triangle. The sides are each and the base is . Simplify. </strong> A) B) C) D) <div style=padding-top: 35px> and the base is <strong>Find the perimeter of the isosceles triangle. The sides are each and the base is . Simplify. </strong> A) B) C) D) <div style=padding-top: 35px> . Simplify. <strong>Find the perimeter of the isosceles triangle. The sides are each and the base is . Simplify. </strong> A) B) C) D) <div style=padding-top: 35px>

A) <strong>Find the perimeter of the isosceles triangle. The sides are each and the base is . Simplify. </strong> A) B) C) D) <div style=padding-top: 35px>
B) <strong>Find the perimeter of the isosceles triangle. The sides are each and the base is . Simplify. </strong> A) B) C) D) <div style=padding-top: 35px>
C) <strong>Find the perimeter of the isosceles triangle. The sides are each and the base is . Simplify. </strong> A) B) C) D) <div style=padding-top: 35px>
D) <strong>Find the perimeter of the isosceles triangle. The sides are each and the base is . Simplify. </strong> A) B) C) D) <div style=padding-top: 35px>
Question
The __________ property of radicals states that if a and b are positive or zero then The __________ property of radicals states that if a and b are positive or zero then .<div style=padding-top: 35px> .
Question
Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. <strong>Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. </strong> A) B) C) 13.23 D) 29.10 <div style=padding-top: 35px>

A) <strong>Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. </strong> A) B) C) 13.23 D) 29.10 <div style=padding-top: 35px>
B) <strong>Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. </strong> A) B) C) 13.23 D) 29.10 <div style=padding-top: 35px>
C) 13.23
D) 29.10
Question
Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. <strong>Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. </strong> A) B) C) D) <div style=padding-top: 35px>

A) <strong>Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. </strong> A) B) C) D) <div style=padding-top: 35px>
B) <strong>Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. </strong> A) B) C) D) <div style=padding-top: 35px>
C) <strong>Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. </strong> A) B) C) D) <div style=padding-top: 35px>
D) <strong>Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. </strong> A) B) C) D) <div style=padding-top: 35px>
Question
Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. <strong>Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. </strong> A) B) C) D) <div style=padding-top: 35px>

A) <strong>Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. </strong> A) B) C) D) <div style=padding-top: 35px>
B) <strong>Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. </strong> A) B) C) D) <div style=padding-top: 35px>
C) <strong>Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. </strong> A) B) C) D) <div style=padding-top: 35px>
D) <strong>Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. </strong> A) B) C) D) <div style=padding-top: 35px>
Question
Simplify the radical expression. Assume that all variables under the radical represents positive values. <strong>Simplify the radical expression. Assume that all variables under the radical represents positive values. </strong> A) B) C) D) <div style=padding-top: 35px>

A) <strong>Simplify the radical expression. Assume that all variables under the radical represents positive values. </strong> A) B) C) D) <div style=padding-top: 35px>
B) <strong>Simplify the radical expression. Assume that all variables under the radical represents positive values. </strong> A) B) C) D) <div style=padding-top: 35px>
C) <strong>Simplify the radical expression. Assume that all variables under the radical represents positive values. </strong> A) B) C) D) <div style=padding-top: 35px>
D) <strong>Simplify the radical expression. Assume that all variables under the radical represents positive values. </strong> A) B) C) D) <div style=padding-top: 35px>
Question
Simplify the radical expression. Assume that all variables under the radical represents positive values. <strong>Simplify the radical expression. Assume that all variables under the radical represents positive values. </strong> A) B) C) D) <div style=padding-top: 35px>

A) <strong>Simplify the radical expression. Assume that all variables under the radical represents positive values. </strong> A) B) C) D) <div style=padding-top: 35px>
B) <strong>Simplify the radical expression. Assume that all variables under the radical represents positive values. </strong> A) B) C) D) <div style=padding-top: 35px>
C) <strong>Simplify the radical expression. Assume that all variables under the radical represents positive values. </strong> A) B) C) D) <div style=padding-top: 35px>
D) <strong>Simplify the radical expression. Assume that all variables under the radical represents positive values. </strong> A) B) C) D) <div style=padding-top: 35px>
Question
Simplify the radical then approximate it to two decimal places. <strong>Simplify the radical then approximate it to two decimal places. </strong> A) 16 B) 11.31 C) 16 D) 11.31 <div style=padding-top: 35px>

A) <strong>Simplify the radical then approximate it to two decimal places. </strong> A) 16 B) 11.31 C) 16 D) 11.31 <div style=padding-top: 35px> 16
B) <strong>Simplify the radical then approximate it to two decimal places. </strong> A) 16 B) 11.31 C) 16 D) 11.31 <div style=padding-top: 35px> 11.31
C) <strong>Simplify the radical then approximate it to two decimal places. </strong> A) 16 B) 11.31 C) 16 D) 11.31 <div style=padding-top: 35px> 16
D) <strong>Simplify the radical then approximate it to two decimal places. </strong> A) 16 B) 11.31 C) 16 D) 11.31 <div style=padding-top: 35px> 11.31
Question
Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. <strong>Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. </strong> A) B) C) D) <div style=padding-top: 35px>

A) <strong>Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. </strong> A) B) C) D) <div style=padding-top: 35px>
B) <strong>Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. </strong> A) B) C) D) <div style=padding-top: 35px>
C) <strong>Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. </strong> A) B) C) D) <div style=padding-top: 35px>
D) <strong>Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. </strong> A) B) C) D) <div style=padding-top: 35px>
Question
Simplify the radical then approximate it to two decimal places. <strong>Simplify the radical then approximate it to two decimal places. </strong> A) 50.91 B) 8.49 C) 50.91 D) 8.49 <div style=padding-top: 35px>

A) <strong>Simplify the radical then approximate it to two decimal places. </strong> A) 50.91 B) 8.49 C) 50.91 D) 8.49 <div style=padding-top: 35px> 50.91
B) <strong>Simplify the radical then approximate it to two decimal places. </strong> A) 50.91 B) 8.49 C) 50.91 D) 8.49 <div style=padding-top: 35px> 8.49
C) <strong>Simplify the radical then approximate it to two decimal places. </strong> A) 50.91 B) 8.49 C) 50.91 D) 8.49 <div style=padding-top: 35px> 50.91
D) <strong>Simplify the radical then approximate it to two decimal places. </strong> A) 50.91 B) 8.49 C) 50.91 D) 8.49 <div style=padding-top: 35px> 8.49
Question
Simplify the radical then approximate it to two decimal places. <strong>Simplify the radical then approximate it to two decimal places. </strong> A) 11.18 B) 1.73 C) 11.18 D) 1.73 <div style=padding-top: 35px>

A) <strong>Simplify the radical then approximate it to two decimal places. </strong> A) 11.18 B) 1.73 C) 11.18 D) 1.73 <div style=padding-top: 35px> 11.18
B) <strong>Simplify the radical then approximate it to two decimal places. </strong> A) 11.18 B) 1.73 C) 11.18 D) 1.73 <div style=padding-top: 35px> 1.73
C) <strong>Simplify the radical then approximate it to two decimal places. </strong> A) 11.18 B) 1.73 C) 11.18 D) 1.73 <div style=padding-top: 35px> 11.18
D) <strong>Simplify the radical then approximate it to two decimal places. </strong> A) 11.18 B) 1.73 C) 11.18 D) 1.73 <div style=padding-top: 35px> 1.73
Question
Simplify the expression. Assume that all variables under the radical represents positive values. Simplify the expression. Assume that all variables under the radical represents positive values. <div style=padding-top: 35px>
Question
Simplify the radical then approximate it to two decimal places. Simplify the radical then approximate it to two decimal places. <div style=padding-top: 35px>
Question
Simplify the radical expression. Assume that all variables under the radical represents positive values. Simplify the radical expression. Assume that all variables under the radical represents positive values. <div style=padding-top: 35px>
Question
Simplify the radical then approximate it to two decimal places. Simplify the radical then approximate it to two decimal places. <div style=padding-top: 35px>
Question
Find the perimeter of the geometric shape. The length is Find the perimeter of the geometric shape. The length is and the width is . Simplify. <div style=padding-top: 35px> and the width is Find the perimeter of the geometric shape. The length is and the width is . Simplify. <div style=padding-top: 35px> . Simplify. Find the perimeter of the geometric shape. The length is and the width is . Simplify. <div style=padding-top: 35px>
Question
Simplify the radical expression.Assume that all variables under the radical represents positive values. Simplify the radical expression.Assume that all variables under the radical represents positive values. <div style=padding-top: 35px>
Question
Simplify the radical then approximate it to two decimal places. Simplify the radical then approximate it to two decimal places. <div style=padding-top: 35px>
Question
Simplify the radical then approximate it to two decimal places. Simplify the radical then approximate it to two decimal places. <div style=padding-top: 35px>
Question
Simplify the expression. Assume that all variables under the radical represents positive values. Simplify the expression. Assume that all variables under the radical represents positive values. <div style=padding-top: 35px>
Question
Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. <div style=padding-top: 35px>
Question
Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. <div style=padding-top: 35px>
Question
Match between columns
Premises:
Responses:
Question
Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. <div style=padding-top: 35px>
Question
A model rocket is launched from the ground. Its height in feet is described by the equation A model rocket is launched from the ground. Its height in feet is described by the equation t seconds after launch. When does the rocket hit the ground?<div style=padding-top: 35px> t seconds after launch. When does the rocket hit the ground?
Question
Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. <div style=padding-top: 35px>
Question
A model rocket is launched from the ground. Its height in feet is described by the equation A model rocket is launched from the ground. Its height in feet is described by the equation t seconds after launch. When does the rocket hit the ground? Round to two decimal places.<div style=padding-top: 35px> t seconds after launch. When does the rocket hit the ground? Round to two decimal places.
Question
Solve the quadratic equation. Solve the quadratic equation. <div style=padding-top: 35px>
Question
Find the perimeter of the isosceles triangle. The sides are each Find the perimeter of the isosceles triangle. The sides are each and the base is . Simplify. <div style=padding-top: 35px> and the base is Find the perimeter of the isosceles triangle. The sides are each and the base is . Simplify. <div style=padding-top: 35px> . Simplify. Find the perimeter of the isosceles triangle. The sides are each and the base is . Simplify. <div style=padding-top: 35px>
Question
Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. <div style=padding-top: 35px>
Question
Simplify the radical then approximate it to two decimal places. Simplify the radical then approximate it to two decimal places. <div style=padding-top: 35px>
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Deck 8: Radical Expressions and Equations
1
Evaluate the radical expression for the given value of the variable. If the square root does not exist write not real as the answer. Evaluate the radical expression for the given value of the variable. If the square root does not exist write not real as the answer. for for Evaluate the radical expression for the given value of the variable. If the square root does not exist write not real as the answer. for
3
2
The square root of a number might be negative zero or positive.
False
3
Simplify the expression. Assume that the variable has positive values. <strong>Simplify the expression. Assume that the variable has positive values. </strong> A) B) C) D)

A) <strong>Simplify the expression. Assume that the variable has positive values. </strong> A) B) C) D)
B) <strong>Simplify the expression. Assume that the variable has positive values. </strong> A) B) C) D)
C) <strong>Simplify the expression. Assume that the variable has positive values. </strong> A) B) C) D)
D) <strong>Simplify the expression. Assume that the variable has positive values. </strong> A) B) C) D)
4
Simplify the expression. Assume that the variable has positive values. <strong>Simplify the expression. Assume that the variable has positive values. </strong> A) B) C) D) not real

A) <strong>Simplify the expression. Assume that the variable has positive values. </strong> A) B) C) D) not real
B) <strong>Simplify the expression. Assume that the variable has positive values. </strong> A) B) C) D) not real
C) <strong>Simplify the expression. Assume that the variable has positive values. </strong> A) B) C) D) not real
D) not real
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5
The length of a side of a cube x and the volume of the cube V are related by the equation <strong>The length of a side of a cube x and the volume of the cube V are related by the equation . If the cube has volume what is the length of the side x of the cube? Round to two decimal places.</strong> A) 4.17 in B) 2.32 in C) 4.16 in D) 3.54 in . If the cube has volume <strong>The length of a side of a cube x and the volume of the cube V are related by the equation . If the cube has volume what is the length of the side x of the cube? Round to two decimal places.</strong> A) 4.17 in B) 2.32 in C) 4.16 in D) 3.54 in what is the length of the side x of the cube? Round to two decimal places.

A) 4.17 in
B) 2.32 in
C) 4.16 in
D) 3.54 in
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6
When police measure the length of a skid mark made by a car involved in an accident on a nearby road the police determine the speed s of the car (in mph) by the following equation: <strong>When police measure the length of a skid mark made by a car involved in an accident on a nearby road the police determine the speed s of the car (in mph) by the following equation: where d is the length of the skid mark in feet. What was the speed of the car when the length of the skid mark was 125 feet? Round to two decimal places.</strong> A) 46.88 mph B) 50.00 mph C) 53.03 mph D) 53.33 mph where d is the length of the skid mark in feet. What was the speed of the car when the length of the skid mark was 125 feet? Round to two decimal places.

A) 46.88 mph
B) 50.00 mph
C) 53.03 mph
D) 53.33 mph
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7
The distance of the line segment between two points The distance of the line segment between two points and is and The distance of the line segment between two points and is is The distance of the line segment between two points and is
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8
Simplify the expression. Assume that the variable has positive values. <strong>Simplify the expression. Assume that the variable has positive values. </strong> A) B) C) D)

A) <strong>Simplify the expression. Assume that the variable has positive values. </strong> A) B) C) D)
B) <strong>Simplify the expression. Assume that the variable has positive values. </strong> A) B) C) D)
C) <strong>Simplify the expression. Assume that the variable has positive values. </strong> A) B) C) D)
D) <strong>Simplify the expression. Assume that the variable has positive values. </strong> A) B) C) D)
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9
Evaluate the radical expression for the given value of the variable. If the square root does not exist select not real as the answer. <strong>Evaluate the radical expression for the given value of the variable. If the square root does not exist select not real as the answer. for </strong> A) B) C) D) not real for <strong>Evaluate the radical expression for the given value of the variable. If the square root does not exist select not real as the answer. for </strong> A) B) C) D) not real

A) <strong>Evaluate the radical expression for the given value of the variable. If the square root does not exist select not real as the answer. for </strong> A) B) C) D) not real
B) <strong>Evaluate the radical expression for the given value of the variable. If the square root does not exist select not real as the answer. for </strong> A) B) C) D) not real
C) <strong>Evaluate the radical expression for the given value of the variable. If the square root does not exist select not real as the answer. for </strong> A) B) C) D) not real
D) not real
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10
Simplify the expression. Assume that the variable has positive values. <strong>Simplify the expression. Assume that the variable has positive values. </strong> A) B) C) D)

A) <strong>Simplify the expression. Assume that the variable has positive values. </strong> A) B) C) D)
B) <strong>Simplify the expression. Assume that the variable has positive values. </strong> A) B) C) D)
C) <strong>Simplify the expression. Assume that the variable has positive values. </strong> A) B) C) D)
D) <strong>Simplify the expression. Assume that the variable has positive values. </strong> A) B) C) D)
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11
If a ball is dropped from a height of h feet it takes t seconds to hit the ground which is modeled by the equation <strong>If a ball is dropped from a height of h feet it takes t seconds to hit the ground which is modeled by the equation . How long will it take the ball to hit the ground when it is dropped from 130 feet? Round to two decimal places if necessary.</strong> A) 2.80 sec B) 0.71 sec C) 2.85 sec D) 8.125 sec . How long will it take the ball to hit the ground when it is dropped from 130 feet? Round to two decimal places if necessary.

A) 2.80 sec
B) 0.71 sec
C) 2.85 sec
D) 8.125 sec
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12
The square root of a negative number is not a real number.
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13
Evaluate the radical expression for the given value of the variable. If the square root does not exist select not real as the answer. <strong>Evaluate the radical expression for the given value of the variable. If the square root does not exist select not real as the answer. for </strong> A) B) 3 C) D) not real for <strong>Evaluate the radical expression for the given value of the variable. If the square root does not exist select not real as the answer. for </strong> A) B) 3 C) D) not real

A) <strong>Evaluate the radical expression for the given value of the variable. If the square root does not exist select not real as the answer. for </strong> A) B) 3 C) D) not real
B) 3
C) <strong>Evaluate the radical expression for the given value of the variable. If the square root does not exist select not real as the answer. for </strong> A) B) 3 C) D) not real
D) not real
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14
Evaluate the radical expression for the given value of the variable. If the square root does not exist select not real as the answer. <strong>Evaluate the radical expression for the given value of the variable. If the square root does not exist select not real as the answer. for </strong> A) B) C) D) not real for <strong>Evaluate the radical expression for the given value of the variable. If the square root does not exist select not real as the answer. for </strong> A) B) C) D) not real

A) <strong>Evaluate the radical expression for the given value of the variable. If the square root does not exist select not real as the answer. for </strong> A) B) C) D) not real
B) <strong>Evaluate the radical expression for the given value of the variable. If the square root does not exist select not real as the answer. for </strong> A) B) C) D) not real
C) <strong>Evaluate the radical expression for the given value of the variable. If the square root does not exist select not real as the answer. for </strong> A) B) C) D) not real
D) not real
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15
Find the distance between the points <strong>Find the distance between the points . Round to two decimal places if necessary.</strong> A) 29 B) 5.38 C) 5.39 D) 3.07 . Round to two decimal places if necessary.

A) 29
B) 5.38
C) 5.39
D) 3.07
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16
If a ball is dropped from a height of h feet it takes t seconds to hit the ground which is modeled by the equation <strong>If a ball is dropped from a height of h feet it takes t seconds to hit the ground which is modeled by the equation . How long will it take the ball to hit the ground when it is dropped from 100 feet? Round to two decimal places if necessary.</strong> A) 6.25 sec B) 2.50 sec C) 2.00 sec D) 0.63 sec . How long will it take the ball to hit the ground when it is dropped from 100 feet? Round to two decimal places if necessary.

A) 6.25 sec
B) 2.50 sec
C) 2.00 sec
D) 0.63 sec
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17
Find the distance between the points <strong>Find the distance between the points . Round to two decimal places if necessary.</strong> A) 17.50 B) 17.49 C) 6.74 D) 306 . Round to two decimal places if necessary.

A) 17.50
B) 17.49
C) 6.74
D) 306
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18
The profit P in dollars that you earn from selling n cupcakes is given by <strong>The profit P in dollars that you earn from selling n cupcakes is given by . How much profit will you earn from selling 14 cupcakes? Round to the nearest cent.</strong> A) $6.71 B) $6.70 C) $15.92 D) $15.91 . How much profit will you earn from selling 14 cupcakes? Round to the nearest cent.

A) $6.71
B) $6.70
C) $15.92
D) $15.91
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19
Evaluate the radical expression for the given value of the variable. If the square root does not exist select not real as the answer. <strong>Evaluate the radical expression for the given value of the variable. If the square root does not exist select not real as the answer. for </strong> A) B) C) 3.3 D) not real for <strong>Evaluate the radical expression for the given value of the variable. If the square root does not exist select not real as the answer. for </strong> A) B) C) 3.3 D) not real

A) <strong>Evaluate the radical expression for the given value of the variable. If the square root does not exist select not real as the answer. for </strong> A) B) C) 3.3 D) not real
B) <strong>Evaluate the radical expression for the given value of the variable. If the square root does not exist select not real as the answer. for </strong> A) B) C) 3.3 D) not real
C) 3.3
D) not real
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20
A radical equation has a variable expression under the radical.
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21
If a ball is dropped from a height of h feet it takes t seconds to hit the ground which is modeled by the equation If a ball is dropped from a height of h feet it takes t seconds to hit the ground which is modeled by the equation . How long will it take the ball to hit the ground when it is dropped from 64 feet? Round to two decimal places if necessary. . How long will it take the ball to hit the ground when it is dropped from 64 feet? Round to two decimal places if necessary.
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22
Evaluate the radical expression for the given value of the variable. If the square root does not exist write not real as the answer. Evaluate the radical expression for the given value of the variable. If the square root does not exist write not real as the answer. for for Evaluate the radical expression for the given value of the variable. If the square root does not exist write not real as the answer. for
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23
If a ball is dropped from a height of h feet it takes t seconds to hit the ground which is modeled by the equation If a ball is dropped from a height of h feet it takes t seconds to hit the ground which is modeled by the equation . How long will it take the ball to hit the ground when it is dropped from 90 feet? Round to two decimal places if necessary. . How long will it take the ball to hit the ground when it is dropped from 90 feet? Round to two decimal places if necessary.
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24
Evaluate the radical expression for the given value of the variable. If the square root does not exist write not real as the answer. Evaluate the radical expression for the given value of the variable. If the square root does not exist write not real as the answer. for for Evaluate the radical expression for the given value of the variable. If the square root does not exist write not real as the answer. for
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25
If a ball is dropped from a height of s feet it takes t seconds to hit the ground which is modeled by the equation If a ball is dropped from a height of s feet it takes t seconds to hit the ground which is modeled by the equation . How long will it take the ball to hit the ground when it is dropped from 144 feet? Round to two decimal places if necessary. . How long will it take the ball to hit the ground when it is dropped from 144 feet? Round to two decimal places if necessary.
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26
Suppose that a cylinder has a height of 8 cm. The volume of this cylinder is related to the radius of its base by the equation Suppose that a cylinder has a height of 8 cm. The volume of this cylinder is related to the radius of its base by the equation where V is its volume in . Find the radius r of this cylinder if its volume is . Round to two decimal places if necessary. where V is its volume in Suppose that a cylinder has a height of 8 cm. The volume of this cylinder is related to the radius of its base by the equation where V is its volume in . Find the radius r of this cylinder if its volume is . Round to two decimal places if necessary. . Find the radius r of this cylinder if its volume is Suppose that a cylinder has a height of 8 cm. The volume of this cylinder is related to the radius of its base by the equation where V is its volume in . Find the radius r of this cylinder if its volume is . Round to two decimal places if necessary. . Round to two decimal places if necessary.
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27
The distance in miles d that can be seen on the surface of the earth is given by The distance in miles d that can be seen on the surface of the earth is given by where h is the height in feet of a person standing on the earth. How far can a person see if the person is 81 feet above the ground? Round to two decimal places if necessary. where h is the height in feet of a person standing on the earth. How far can a person see if the person is 81 feet above the ground? Round to two decimal places if necessary.
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28
Simplify the expression. Assume that the variable has positive values. Simplify the expression. Assume that the variable has positive values.
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29
Evaluate the radical expression for the given value of the variable. If the square root does not exist write not real as the answer. Evaluate the radical expression for the given value of the variable. If the square root does not exist write not real as the answer. for for Evaluate the radical expression for the given value of the variable. If the square root does not exist write not real as the answer. for
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30
Simplify the expression. Assume that the variable has positive values. Simplify the expression. Assume that the variable has positive values.
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31
Find the distance between the points Find the distance between the points . Round to two decimal places if necessary. . Round to two decimal places if necessary.
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32
The distance in miles d that can be seen on the surface of the earth is given by The distance in miles d that can be seen on the surface of the earth is given by where h is the height in feet of a person standing on the earth. How far can a person see if the person is 5ft 6 in tall? Round to two decimal places if necessary. where h is the height in feet of a person standing on the earth. How far can a person see if the person is 5ft 6 in tall? Round to two decimal places if necessary.
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33
Simplify the expression. Assume that the variable has positive values. Simplify the expression. Assume that the variable has positive values.
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34
Simplify the expression. Assume that the variable has positive values. Simplify the expression. Assume that the variable has positive values.
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35
Find the distance between the points Find the distance between the points . Round to two decimal places if necessary. . Round to two decimal places if necessary.
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36
Simplify the expression. Assume that the variable has positive values. Simplify the expression. Assume that the variable has positive values.
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37
Find the distance between the points Find the distance between the points . Round to two decimal places if necessary. . Round to two decimal places if necessary.
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38
Simplify the expression. Assume that the variable has positive values. Simplify the expression. Assume that the variable has positive values.
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39
If a ball is dropped from a height of s feet it takes t seconds to hit the ground which is modeled by the equation If a ball is dropped from a height of s feet it takes t seconds to hit the ground which is modeled by the equation . How long will it take the ball to hit the ground when it is dropped from 196 feet? Round to two decimal places if necessary. . How long will it take the ball to hit the ground when it is dropped from 196 feet? Round to two decimal places if necessary.
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40
Evaluate the radical expression for the given value of the variable. If the square root does not exist write not real as the answer. Evaluate the radical expression for the given value of the variable. If the square root does not exist write not real as the answer. for for Evaluate the radical expression for the given value of the variable. If the square root does not exist write not real as the answer. for
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41
Find the perimeter of the geometric shape. The length is <strong>Find the perimeter of the geometric shape. The length is and the width is . Simplify. </strong> A) 98 B) C) 21 D) and the width is <strong>Find the perimeter of the geometric shape. The length is and the width is . Simplify. </strong> A) 98 B) C) 21 D) . Simplify. <strong>Find the perimeter of the geometric shape. The length is and the width is . Simplify. </strong> A) 98 B) C) 21 D)

A) 98
B) <strong>Find the perimeter of the geometric shape. The length is and the width is . Simplify. </strong> A) 98 B) C) 21 D)
C) 21
D) <strong>Find the perimeter of the geometric shape. The length is and the width is . Simplify. </strong> A) 98 B) C) 21 D)
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42
Simplify the radical expression. Assume that all variables under the radical represents positive values. <strong>Simplify the radical expression. Assume that all variables under the radical represents positive values. </strong> A) B) C) D)

A) <strong>Simplify the radical expression. Assume that all variables under the radical represents positive values. </strong> A) B) C) D)
B) <strong>Simplify the radical expression. Assume that all variables under the radical represents positive values. </strong> A) B) C) D)
C) <strong>Simplify the radical expression. Assume that all variables under the radical represents positive values. </strong> A) B) C) D)
D) <strong>Simplify the radical expression. Assume that all variables under the radical represents positive values. </strong> A) B) C) D)
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43
You __________ You __________ as 15.81. as 15.81.
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44
Simplify the radical then approximate it to two decimal places. <strong>Simplify the radical then approximate it to two decimal places. </strong> A) 15.81 B) 7.07 C) 15.81 D) 7.07

A) <strong>Simplify the radical then approximate it to two decimal places. </strong> A) 15.81 B) 7.07 C) 15.81 D) 7.07 15.81
B) <strong>Simplify the radical then approximate it to two decimal places. </strong> A) 15.81 B) 7.07 C) 15.81 D) 7.07 7.07
C) <strong>Simplify the radical then approximate it to two decimal places. </strong> A) 15.81 B) 7.07 C) 15.81 D) 7.07 15.81
D) <strong>Simplify the radical then approximate it to two decimal places. </strong> A) 15.81 B) 7.07 C) 15.81 D) 7.07 7.07
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45
You __________ You __________ as . as You __________ as . .
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46
Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. <strong>Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. </strong> A) B) C) 3.32 D) -3.32

A) <strong>Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. </strong> A) B) C) 3.32 D) -3.32
B) <strong>Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. </strong> A) B) C) 3.32 D) -3.32
C) 3.32
D) -3.32
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47
If two radical expressions are ready to be added or subtracted the expressions are __________.
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48
Simplify the radical expression. Assume that all variables under the radical represents positive values. <strong>Simplify the radical expression. Assume that all variables under the radical represents positive values. </strong> A) B) C) D)

A) <strong>Simplify the radical expression. Assume that all variables under the radical represents positive values. </strong> A) B) C) D)
B) <strong>Simplify the radical expression. Assume that all variables under the radical represents positive values. </strong> A) B) C) D)
C) <strong>Simplify the radical expression. Assume that all variables under the radical represents positive values. </strong> A) B) C) D)
D) <strong>Simplify the radical expression. Assume that all variables under the radical represents positive values. </strong> A) B) C) D)
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49
Simplify the radical then approximate it to two decimal places. <strong>Simplify the radical then approximate it to two decimal places. </strong> A) 16.97 B) 33.94 C) 16.97 D) 33.94

A) <strong>Simplify the radical then approximate it to two decimal places. </strong> A) 16.97 B) 33.94 C) 16.97 D) 33.94 16.97
B) <strong>Simplify the radical then approximate it to two decimal places. </strong> A) 16.97 B) 33.94 C) 16.97 D) 33.94 33.94
C) <strong>Simplify the radical then approximate it to two decimal places. </strong> A) 16.97 B) 33.94 C) 16.97 D) 33.94 16.97
D) <strong>Simplify the radical then approximate it to two decimal places. </strong> A) 16.97 B) 33.94 C) 16.97 D) 33.94 33.94
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50
Find the perimeter of the isosceles triangle. The sides are each <strong>Find the perimeter of the isosceles triangle. The sides are each and the base is . Simplify. </strong> A) B) C) D) and the base is <strong>Find the perimeter of the isosceles triangle. The sides are each and the base is . Simplify. </strong> A) B) C) D) . Simplify. <strong>Find the perimeter of the isosceles triangle. The sides are each and the base is . Simplify. </strong> A) B) C) D)

A) <strong>Find the perimeter of the isosceles triangle. The sides are each and the base is . Simplify. </strong> A) B) C) D)
B) <strong>Find the perimeter of the isosceles triangle. The sides are each and the base is . Simplify. </strong> A) B) C) D)
C) <strong>Find the perimeter of the isosceles triangle. The sides are each and the base is . Simplify. </strong> A) B) C) D)
D) <strong>Find the perimeter of the isosceles triangle. The sides are each and the base is . Simplify. </strong> A) B) C) D)
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51
The __________ property of radicals states that if a and b are positive or zero then The __________ property of radicals states that if a and b are positive or zero then . .
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52
Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. <strong>Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. </strong> A) B) C) 13.23 D) 29.10

A) <strong>Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. </strong> A) B) C) 13.23 D) 29.10
B) <strong>Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. </strong> A) B) C) 13.23 D) 29.10
C) 13.23
D) 29.10
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53
Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. <strong>Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. </strong> A) B) C) D)

A) <strong>Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. </strong> A) B) C) D)
B) <strong>Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. </strong> A) B) C) D)
C) <strong>Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. </strong> A) B) C) D)
D) <strong>Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. </strong> A) B) C) D)
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54
Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. <strong>Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. </strong> A) B) C) D)

A) <strong>Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. </strong> A) B) C) D)
B) <strong>Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. </strong> A) B) C) D)
C) <strong>Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. </strong> A) B) C) D)
D) <strong>Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. </strong> A) B) C) D)
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55
Simplify the radical expression. Assume that all variables under the radical represents positive values. <strong>Simplify the radical expression. Assume that all variables under the radical represents positive values. </strong> A) B) C) D)

A) <strong>Simplify the radical expression. Assume that all variables under the radical represents positive values. </strong> A) B) C) D)
B) <strong>Simplify the radical expression. Assume that all variables under the radical represents positive values. </strong> A) B) C) D)
C) <strong>Simplify the radical expression. Assume that all variables under the radical represents positive values. </strong> A) B) C) D)
D) <strong>Simplify the radical expression. Assume that all variables under the radical represents positive values. </strong> A) B) C) D)
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56
Simplify the radical expression. Assume that all variables under the radical represents positive values. <strong>Simplify the radical expression. Assume that all variables under the radical represents positive values. </strong> A) B) C) D)

A) <strong>Simplify the radical expression. Assume that all variables under the radical represents positive values. </strong> A) B) C) D)
B) <strong>Simplify the radical expression. Assume that all variables under the radical represents positive values. </strong> A) B) C) D)
C) <strong>Simplify the radical expression. Assume that all variables under the radical represents positive values. </strong> A) B) C) D)
D) <strong>Simplify the radical expression. Assume that all variables under the radical represents positive values. </strong> A) B) C) D)
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57
Simplify the radical then approximate it to two decimal places. <strong>Simplify the radical then approximate it to two decimal places. </strong> A) 16 B) 11.31 C) 16 D) 11.31

A) <strong>Simplify the radical then approximate it to two decimal places. </strong> A) 16 B) 11.31 C) 16 D) 11.31 16
B) <strong>Simplify the radical then approximate it to two decimal places. </strong> A) 16 B) 11.31 C) 16 D) 11.31 11.31
C) <strong>Simplify the radical then approximate it to two decimal places. </strong> A) 16 B) 11.31 C) 16 D) 11.31 16
D) <strong>Simplify the radical then approximate it to two decimal places. </strong> A) 16 B) 11.31 C) 16 D) 11.31 11.31
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58
Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. <strong>Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. </strong> A) B) C) D)

A) <strong>Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. </strong> A) B) C) D)
B) <strong>Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. </strong> A) B) C) D)
C) <strong>Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. </strong> A) B) C) D)
D) <strong>Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. </strong> A) B) C) D)
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59
Simplify the radical then approximate it to two decimal places. <strong>Simplify the radical then approximate it to two decimal places. </strong> A) 50.91 B) 8.49 C) 50.91 D) 8.49

A) <strong>Simplify the radical then approximate it to two decimal places. </strong> A) 50.91 B) 8.49 C) 50.91 D) 8.49 50.91
B) <strong>Simplify the radical then approximate it to two decimal places. </strong> A) 50.91 B) 8.49 C) 50.91 D) 8.49 8.49
C) <strong>Simplify the radical then approximate it to two decimal places. </strong> A) 50.91 B) 8.49 C) 50.91 D) 8.49 50.91
D) <strong>Simplify the radical then approximate it to two decimal places. </strong> A) 50.91 B) 8.49 C) 50.91 D) 8.49 8.49
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60
Simplify the radical then approximate it to two decimal places. <strong>Simplify the radical then approximate it to two decimal places. </strong> A) 11.18 B) 1.73 C) 11.18 D) 1.73

A) <strong>Simplify the radical then approximate it to two decimal places. </strong> A) 11.18 B) 1.73 C) 11.18 D) 1.73 11.18
B) <strong>Simplify the radical then approximate it to two decimal places. </strong> A) 11.18 B) 1.73 C) 11.18 D) 1.73 1.73
C) <strong>Simplify the radical then approximate it to two decimal places. </strong> A) 11.18 B) 1.73 C) 11.18 D) 1.73 11.18
D) <strong>Simplify the radical then approximate it to two decimal places. </strong> A) 11.18 B) 1.73 C) 11.18 D) 1.73 1.73
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61
Simplify the expression. Assume that all variables under the radical represents positive values. Simplify the expression. Assume that all variables under the radical represents positive values.
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62
Simplify the radical then approximate it to two decimal places. Simplify the radical then approximate it to two decimal places.
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k this deck
63
Simplify the radical expression. Assume that all variables under the radical represents positive values. Simplify the radical expression. Assume that all variables under the radical represents positive values.
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64
Simplify the radical then approximate it to two decimal places. Simplify the radical then approximate it to two decimal places.
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k this deck
65
Find the perimeter of the geometric shape. The length is Find the perimeter of the geometric shape. The length is and the width is . Simplify. and the width is Find the perimeter of the geometric shape. The length is and the width is . Simplify. . Simplify. Find the perimeter of the geometric shape. The length is and the width is . Simplify.
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66
Simplify the radical expression.Assume that all variables under the radical represents positive values. Simplify the radical expression.Assume that all variables under the radical represents positive values.
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67
Simplify the radical then approximate it to two decimal places. Simplify the radical then approximate it to two decimal places.
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68
Simplify the radical then approximate it to two decimal places. Simplify the radical then approximate it to two decimal places.
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69
Simplify the expression. Assume that all variables under the radical represents positive values. Simplify the expression. Assume that all variables under the radical represents positive values.
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70
Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer.
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k this deck
71
Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer.
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72
Match between columns
Premises:
Responses:
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73
Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer.
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k this deck
74
A model rocket is launched from the ground. Its height in feet is described by the equation A model rocket is launched from the ground. Its height in feet is described by the equation t seconds after launch. When does the rocket hit the ground? t seconds after launch. When does the rocket hit the ground?
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75
Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer.
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k this deck
76
A model rocket is launched from the ground. Its height in feet is described by the equation A model rocket is launched from the ground. Its height in feet is described by the equation t seconds after launch. When does the rocket hit the ground? Round to two decimal places. t seconds after launch. When does the rocket hit the ground? Round to two decimal places.
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77
Solve the quadratic equation. Solve the quadratic equation.
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78
Find the perimeter of the isosceles triangle. The sides are each Find the perimeter of the isosceles triangle. The sides are each and the base is . Simplify. and the base is Find the perimeter of the isosceles triangle. The sides are each and the base is . Simplify. . Simplify. Find the perimeter of the isosceles triangle. The sides are each and the base is . Simplify.
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79
Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer. Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer.
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80
Simplify the radical then approximate it to two decimal places. Simplify the radical then approximate it to two decimal places.
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