Exam 8: Radical Expressions and Equations

Solve the radical equation.

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

Simplify the radical expression. Assume that all variables under the radical represents positive values.

Solve the radical equation.

Solve the quadratic equation by using the square root property.

Rewrite the quadratic equation as an equivalent equation with one side a perfect square trinomial. Do not solve the equation.

Solve the radical equation.

In a right triangle with hypotenuse of length c and sides of length a and b .

Solve the radical equation.

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

Solve the radical equation.

Multiply and simplify.

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. If the car s speed was 62 mph how long was the skid mark? Round to one decimal place.

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

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

Rationalize the denominator and simplify.

Find the perimeter of the geometric shape. The length is and the width is . Simplify.

Solve the quadratic equation by using the square root property.

A ball is dropped from a roof. Its height in meters is described by the equation t seconds after launch. When is the rock at a height of 20 meters? Round to two decimal places.

Solve the radical equation.