Exam 8: Radical Expressions and Equations

Multiply the radicals and simplify.

Simplify the radical then approximate it to two decimal places.

An extraneous solution __________ check in the original problem.

Solve the quadratic equation by using the square root property.

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

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

Solve the radical equation.

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.

Solve 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

The radius of a circle r is approximated by the equation where the area is A. If the radius is 8.5 m what is the area rounded to two decimal places?

Simplify the radical then approximate it to two decimal places.

Find the distance between the points . Round to two decimal places if necessary.

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

Your profit from assembling and selling computers is P dollars when you sell n computers. The profit is described by the equation . If the profit is $1550 how many (rounded to a whole number) computers did you sell?

The distributive property applies to radical expressions.

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

The quotient property of radicals states that for and .

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