# How do you simplify 24/sqrt6?

Sep 18, 2015

The answer is $4 \sqrt{6}$.

#### Explanation:

$\frac{24}{\sqrt{6}}$

Rationalize the denominator by multiplying times $\frac{\sqrt{6}}{\sqrt{6}}$.

$\frac{24}{\sqrt{6}} \cdot \frac{\sqrt{6}}{\sqrt{6}} =$

$\frac{24 \sqrt{6}}{6}$

Simplify $\frac{24}{6}$.

$\frac{{\cancel{24}}^{4} \sqrt{6}}{\cancel{6}} ^ 1 =$

$4 \sqrt{6}$