# How do you simplify square root of 24 over 4 times the square root of 6?

Sep 24, 2015

$\frac{1}{2}$

#### Explanation:

First, let's simplify the square root of 24.

$\sqrt{24}$ can be expressed as $\sqrt{4} \sqrt{6}$, or $2 \sqrt{6}$.

Now we have $\frac{2 \sqrt{6}}{4 \sqrt{6}}$.

Luckily, the $\sqrt{6}$s cancel leaving us with $\frac{2}{4}$.

Finally, we simplify that to get $\frac{1}{2}$, which is our answer.