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

Last updated almost 4 years ago
19 questions
Note from the author:
Watch this video (and ones in the same unit, on the sidebar) for more review on simplifying radical expressions.
Watch this video (and ones in the same unit, on the sidebar) for more review on simplifying radical expressions.
1

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.

1

Simplify the expression.

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

Your answer should be two terms joined by subtraction.

1

Simplify the expression.

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

Your answer should be two terms, no spaces.

1

Simplify.

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

Your answer should be one term, no spaces.

1

Simplify.

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

Your answer should be one term, no spaces.

1

Simplify.

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

Your answer should be one term, no spaces.

1

Simplify.

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

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

1

Simplify.

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

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

1

Simplify.

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

Your answer should be an integer, no spaces.

1

Simplify.

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

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

1

Simplify.

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

Your answer should be one term, no spaces.

1

Simplify.

\sqrt[3]{\frac{-40}{27}}
​​
Your answer should be one term, no spaces.

1

Simplify.

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

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

1

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

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

1

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

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

1

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

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

1

Review:
Write the expression in exponential form.

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

1

Review:
Write the expression in exponential form.

\sqrt[4]{8b}

1

Review:
Simplify. Express your answer in simplest radical form.

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