# How do you find square root of 135?

Sep 21, 2015

$3 \sqrt{15}$

#### Explanation:

Factor out 135 completely so you can take out any perfect squares.
$\sqrt{135}$
$= \sqrt{3 \cdot 3 \cdot 3 \cdot 5}$
$= \sqrt{{3}^{2} \cdot 3 \cdot 5}$
$= 3 \sqrt{3 \cdot 5}$
$= \textcolor{red}{3 \sqrt{15}}$