Simplifying Radicals

Practice Questions

High School Math › Simplifying Radicals

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1

Factor and simplify the following radical expression:

$\sqrt[4]{18a^3bc^5}\cdot \sqrt[4]{27a^2b^6c}$

2

Factor and simplify the following radical expression:

$\sqrt[4]{18a^3bc^5}\cdot \sqrt[4]{27a^2b^6c}$

3

Factor and simplify the following radical expression:

$(4-2\sqrt{2})(\sqrt{2}-4)$

4

Factor and simplify the following radical expression:

$(4-2\sqrt{2})(\sqrt{2}-4)$

5

Factor and simplify the following radical expression:

$\frac{3-2\sqrt{3}}{2\sqrt{3}+3}$

6

Factor and simplify the following radical expression:

$\frac{3-2\sqrt{3}}{2\sqrt{3}+3}$

7

Simplify the following radical expression:

$\sqrt[4]{64x^5y^6z^9}$

8

Factor and simplify the following radical expression:

$\sqrt{\frac{1}{5}}-2\sqrt{20}+3\sqrt{5}$

9

Simplify the following radical expression:

$\sqrt[4]{64x^5y^6z^9}$

10

Factor and simplify the following radical expression:

$\sqrt{\frac{1}{5}}-2\sqrt{20}+3\sqrt{5}$

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