Evaluating Roots

Simplify. Assume that all variables are positive. 

• A

• B

• C

• D

Simplify the following radical: √32

• 3√2

• 4√8

• 16√2

• 4√2

Simplify. Multiply and remove all perfect squares from inside the square roots. Assume b is positive. \sqrt{24b^3}\cdot\sqrt{40b^2}\cdot\sqrt{b^2}

• \sqrt{34b^2}

• \sqrt{8b^2\sqrt{15b}}

• \sqrt{\sqrt{64b^7}}

• \sqrt{8b^3\sqrt{15b}}

Express the answer in simplest radical form.

√8x⁷y⁸

• 2x³y²

• 2x²y^{2 3}√xy²

• 8xy

• 2x³y^{4 3}√x

Which expression is equivalent to ∛(27x⁵y⁶z²)?

• 3x^3/5y^1/2z^3/2

• 3x^5/3y²z^2/3

• (3z)/x

• (3x)/z

Examine the radical expression. Which question best represents this expression?

• What value can be multiplied by itself 108 times to obtain 5?

• What value can be multiplied by itself 5 times to obtain 108?

• What is the value of 108 divided by 5?

• What is the value of 5 divided by 108?

Read the question carefully and choose the correct answer.

• A

• B

• C

• D

Simplify the square root.

• A

• B

• C

• D

Simplify the following radical: √4650

• 5√465

• 5√62

• 5√186

• 15√155