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

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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.
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Question 1
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.

Question 2
2.

Simplify the expression.

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

Your answer should be two terms joined by subtraction.

Question 3
3.

Simplify the expression.

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

Your answer should be two terms, no spaces.

Question 4
4.

Simplify.

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

Your answer should be one term, no spaces.

Question 5
5.

Simplify.

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

Your answer should be one term, no spaces.

Question 6
6.

Simplify.

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

Your answer should be one term, no spaces.

Question 7
7.

Simplify.

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

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

Question 8
8.

Simplify.

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

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

Question 9
9.

Simplify.

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

Your answer should be an integer, no spaces.

Question 10
10.

Simplify.

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

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

Question 11
11.

Simplify.

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

Your answer should be one term, no spaces.

Question 12
12.

Simplify.

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

Question 13
13.

Simplify.

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

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

Question 14
14.

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

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

Question 15
15.

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

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

Question 16
16.

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

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

Question 17
17.

Review:
Write the expression in exponential form.

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

Question 18
18.

Review:
Write the expression in exponential form.

\sqrt[4]{8b}

Question 19
19.

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

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