# How do you simplify 7sqrt108?

Oct 17, 2015

$42 \sqrt{3}$

#### Explanation:

get the $\sqrt{108}$

= sqrt((9)(4)(3)

$9$ and $4$ are perfect square

= $\left(3\right) \left(2\right) \sqrt{3}$

= $6 \sqrt{3}$

then multiply $7$

= $\left(7\right) \left(6\right) \sqrt{3}$

= $42 \sqrt{3}$