# What is the square root of 216?

Oct 13, 2015

$6 \sqrt{6}$

#### Explanation:

Start by factoring 216 completely. Just simplify it afterwards.

$\sqrt{216}$
$= \sqrt{2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 3}$
$= \sqrt{{2}^{2} \cdot 2 \cdot {3}^{2} \cdot 3}$
$= \left(2 \cdot 3\right) \sqrt{2 \cdot 3}$
$\textcolor{red}{= 6 \sqrt{6}}$