Factoring Radicals

Practice Questions

High School Math › Factoring 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:

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

3

Factor and simplify the following radical expression:

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

4

Factor and simplify the following radical expression:

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

5

Simplify the following radical expression:

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

6

Simplify the following radical expression:

$\sqrt{72a^5b^7c^6}$

7

Factor and simplify the following radical expression:

$\sqrt[4]{24a^2b^3c^5}\cdot\sqrt[4]{48a^3b^3c^6}$

8

Factor and simplify the following radical expression:

$\sqrt{3mn}+\sqrt{27m^3n}$

9

Simplify the following radical expression:

$\sqrt[3]{-40n^7m^4}$

10

Simplify the following radical expression:

$\sqrt{n^2-10n+25}$

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