Exam 8: Radical Expressions and Equations

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Evaluate the radical expression for the given value of the variable. If the square root does not exist select not real as the answer. 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  for 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

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Use the Pythagorean Theorem to solve for the unknown side of the right triangle. Round to two decimal places. Use the Pythagorean Theorem to solve for the unknown side of the right triangle. Round to two decimal places.

(Multiple Choice)
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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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Solve the quadratic equation by using the square root property. Solve the quadratic equation by using the square root property.

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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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Divide rationalize the denominator and simplify. Divide rationalize the denominator and simplify.

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The time for a rock to hit the ground when it is dropped from a height of h meters is described by the equation The time for a rock to hit the ground when it is dropped from a height of h meters is described by the equation   where t is in seconds. If it takes 2.15 seconds for a rock to fall what was the height h ? Round to 2 decimal places where t is in seconds. If it takes 2.15 seconds for a rock to fall what was the height h ? Round to 2 decimal places

(Short Answer)
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When you multiply a radical expression with two terms by its conjugate the result has no more radicals in its simplified form.

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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.

(Essay)
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Your revenue from assembling and selling math study guides is R dollars when you sell n math study guides. The revenue is described by the equation Your revenue from assembling and selling math study guides is R dollars when you sell n math study guides. The revenue is described by the equation   . If the revenue is $150 how many (whole number) math study guides did you sell? . If the revenue is $150 how many (whole number) math study guides did you sell?

(Multiple Choice)
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Divide and simplify. Divide and simplify.

(Essay)
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A circular park is 120000 A circular park is 120000   . The formula for the area of the park is   where A is area in   and r is the radius in ft . What is the radius of the park? Round to two decimal places. . The formula for the area of the park is A circular park is 120000   . The formula for the area of the park is   where A is area in   and r is the radius in ft . What is the radius of the park? Round to two decimal places. where A is area in A circular park is 120000   . The formula for the area of the park is   where A is area in   and r is the radius in ft . What is the radius of the park? Round to two decimal places. and r is the radius in ft . What is the radius of the park? Round to two decimal places.

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The square root of a negative number is not a real number.

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Multiply the radicals and simplify. Multiply the radicals and simplify.

(Multiple Choice)
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The area of the rectangle below is The area of the rectangle below is   . Its width is   . Find its length.  . Its width is The area of the rectangle below is   . Its width is   . Find its length.  . Find its length. The area of the rectangle below is   . Its width is   . Find its length.

(Multiple Choice)
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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.

(Multiple Choice)
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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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Solve the radical equation. Solve the radical equation.

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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.

(Multiple Choice)
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Solve the quadratic equation by using the square root property. Solve the quadratic equation by using the square root property.

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