# How do you solve square root of 108 minus square root of 27?

May 19, 2018

First Factor these numbers and apply square roots propierties. See below

#### Explanation:

$108 = {2}^{2} \times {3}^{3}$
$27 = {3}^{3}$

Then sqrt108-sqrt27=sqrt(2^2·3^3)-sqrt(3^3)=

=sqrt(2^2)sqrt(3^2)·sqrt3-sqrt(3^2)·sqrt3=

=2·3·sqrt3-3·sqrt3=6sqrt3-3sqrt3=3sqrt3