# How do you simplify square roots? (examples of problems I need help with down below in the description)

## Simplify, 1) $\sqrt{20}$ 2) $\frac{12}{\sqrt{3}}$ 3) $\frac{\sqrt{6}}{12}$

Aug 1, 2017

#### Explanation:

$\left(1\right)$

$20 = 2 \times 2 \times 5$

$\sqrt{20} = \sqrt{2 \times 2 \times 5} = \sqrt{2 \times 2} \times \sqrt{5}$

$= 2 \sqrt{5}$

$\left(2\right)$

$\sqrt{3} \times \sqrt{3} = \sqrt{9} = 3$

$\frac{12}{\sqrt{3}} = \frac{12 \times \sqrt{3}}{\sqrt{3} \times \sqrt{3}} = \frac{12 \times \sqrt{3}}{3}$

$= 4 \sqrt{3}$

$\left(3\right)$

$\frac{\sqrt{6}}{12} = \frac{\sqrt{6}}{6 \times 2} = \frac{1}{2 \sqrt{6}}$