Exam 8: Roots and Radicals

Assume all variables are positive, and find the root.

Assume the variable is positive, and find the root.

Simplify the expression.

Simplify each term, if necessary, and then use the distributive property to combine terms, if possible.

Perform the multiplication. Give your answer in simplified form for radical expressions.

Put the radical expression into simplified form.

Perform the multiplication. Give your answer in simplified form for radical expressions.

Rationalize the denominator. Give your answer in simplified form.

Find the root.

Solve the equation by applying the squaring property of equality. Be sure to check all solutions in the original equation. If there is no solution , so indicate.

The following statement is false. Correct the right side to make the statement true.

Simplify the radical expression as much as possible.

Perform the multiplication. Give your answer in simplified form for radical expressions.

Use combinations of properties 1 and 2 for radicals to simplify the following expression as much as possible. Assume all variables represent positive numbers.

Put the radical expression into simplified form.

The sum of a number and 2 is equal to the positive square root of 8 times the number. Find the number.

All variables in the problem below represent positive real numbers. Simplify each term, and combine, if possible.

Solve the equation by applying the squaring property of equality. Be sure to check all solutions in the original equation.

Simplify each term, if necessary, and then use the distributive property to combine terms, if possible.

Simplify each term, if necessary, and then use the distributive property to combine terms, if possible.