# How do you simplify the square root of -24?

Jun 30, 2018

$2 i \sqrt{6}$

#### Explanation:

We can rewrite $\sqrt{- 24}$ as

$\sqrt{- 1} \cdot \sqrt{24}$

Recall that $i = \sqrt{- 1}$

We now have

$i \sqrt{24}$

We can factor out a perfect square out of $24$ to get

$i \sqrt{4} \cdot \sqrt{6}$

$= 2 i \sqrt{6}$

Hope this helps!