Exam 8: Radical Expressions and Equations

Solve the quadratic equation by using the square root property.

Rationalize the denominator 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.

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 90 feet? Round to two decimal places if necessary.

To solve a quadratic equation by completing the square you add the __________ of 1/2 the coefficient of x to both sides of the equation.

Simplify the radical then approximate it to two decimal places.

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

The profit P in dollars that you earn from selling n cupcakes is given by . If you want your profit to be $8 how many cupcakes should you sell?

Solve the radical equation.

To rationalize the denominator means to get rid of radical expressions in the numerator.

A square room has an area of 196 sq ft. What is the length of a side of the room?

Is the given value of the variable a solution of the radical equation?

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

Solve the quadratic equation by using the square root property.

A ball is thrown from a roof. Its height in feet is described by the equation t seconds after launch. When is the ball at a height of 64 feet?

If there are two solutions: and .

Solve the quadratic equation by using the square root property.

If two radical expressions are ready to be added or subtracted the expressions are __________.