P6.3: Radical Ops. - Two Day Assignmen (with overlap)

Simplify the expression.

3\sqrt[3]{54}-2\sqrt[3]{2}+7\sqrt[3]{-16}

Your answer should have two terms joined by addition, no spaces.

Simplify the expression.

8\sqrt[4]{48}-5\sqrt{90}+9\sqrt[4]{3}

Your answer should be two terms joined by subtraction.

Simplify the expression.

\sqrt[3]{-40a^{7}}+2a^{2}\cdot\sqrt[3]{135a^{4}}

Your answer should be two terms, no spaces.

Simplify.

3\sqrt{10}\cdot -2\sqrt{18}

Your answer should be one term, no spaces.

Simplify.

4\sqrt[3]{-9} \cdot 7\sqrt[3]{48}

Your answer should be one term, no spaces.

Simplify.

\sqrt[3]{54m^{8}}\cdot\sqrt{5m^{4}}

Your answer should be one term, no spaces.

Simplify.

2\sqrt{3}(\sqrt{27}-8\sqrt{6})

Your answer should be two terms joined by subtraction, no spaces.

Simplify.

(3-\sqrt{10})(8-\sqrt{10})

Your answer should be two terms joined by subtraction, no spaces.

Simplify.

(10+3\sqrt{7})(10-3\sqrt{7})

Your answer should be an integer, no spaces.

Simplify.

(3-2\sqrt{k})^{2}

Your answer should be three terms joined by subtraction/addition.

Simplify.

\frac{20\sqrt{270}}{4\sqrt{3}}

Your answer should be one term, no spaces.

Simplify.

\sqrt[3]{\frac{-40}{27}}

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Your answer should be one term, no spaces.

Simplify.

\sqrt[4]{\frac{2m^{7}}{625n^{4}}}

Your answer should be one term, with a fraction bar, no spaces.

Simplify the expression. Enter your answer in simplest radical form.

7\sqrt[3]{3}+2\sqrt[3]{192}

Simplify the expression. Enter your answer in simplest radical form.

\frac{\sqrt[3]{a^{10}b^{16}}}{\sqrt[3]{a^{5}b^{4}}}

Simplify the expression. Enter your answer in simplest radical form.

\frac{2\sqrt{14}}{\sqrt{8}}

Review:

Write the expression in exponential form.

\sqrt[4]{a^{6}}

Review:

Write the expression in exponential form.

\sqrt[4]{8b}

Review:

Simplify. Express your answer in simplest radical form.

(\sqrt{x}\cdot\sqrt[3]{x^{2}})^{4}