# How do you simplify 4 times square root of 3 divided by square root of 2?

Sep 29, 2015

$2 \sqrt{6}$

#### Explanation:

4 times square root of 3 divided by square root of 2:
$\textcolor{w h i t e}{\text{XXX}} = \frac{4 \sqrt{3}}{\sqrt{2}}$

$\textcolor{w h i t e}{\text{XXX}} = \frac{2 \cdot \cancel{\sqrt{2}} \cdot \sqrt{2} \cdot \sqrt{3}}{\cancel{\sqrt{2}}}$

$\textcolor{w h i t e}{\text{XXX}} = 2 \sqrt{6}$