# How do you simplify the expression 12/sqrt6?

Jan 6, 2017

I got: $2 \sqrt{6}$

#### Explanation:

We can try writing a single square root:
$\sqrt{\frac{{12}^{2}}{6}}$
and write:
$\sqrt{\frac{144}{6}} = \sqrt{24} = \sqrt{6 \cdot 4} = \sqrt{6} \sqrt{4} = 2 \sqrt{6}$

You get the same result rationalizing by wrkting:
$\frac{12}{\sqrt{6}} \cdot \textcolor{red}{\frac{\sqrt{6}}{\sqrt{6}}} = \frac{12 \sqrt{6}}{6} = 2 \sqrt{6}$