Exam 8: Radical Expressions and Equations

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

The time for a rock to hit the ground when it is dropped from a height of h feet is described by the equation where t is in seconds. If it takes 4.25 seconds for a rock to fall what was the height h ?

The distance of the line segment between two points and is

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.

Add or subtract the radical expressions. Assume that all variables under radicals represent positive values. Simplify your answer.

A circular flower bed is 4000 . The formula for the area of the bed is where A is area in and r is the radius in ft . What is the radius of the flower bed? Round to two decimal places.

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

Simplify the expression. Assume that the variable has positive values.

Solve the quadratic equation by using the square root property.

Multiply and simplify.

Solve the quadratic equation. Give both the exact solution(s) and solution(s) rounded to two decimal places.

Solve the quadratic equation. Give both the exact solution(s) and solution(s) rounded to two decimal places.

The square root of a number might be negative zero or positive.

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

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.

The conjugate of is .

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

Multiply the radicals and simplify.

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.

A rock is dropped from a building that is 90 feet high. The rock s height h in feet after t seconds is given by the equation . At what time is the rock at a height of 15 feet? Round the answer to two decimal places.