# What is 2sqrt3 - 3sqrt45 - sqrt27?

Feb 15, 2016

$= - 9 \sqrt{5} - \sqrt{3}$ $\text{ " or " }$ $- 1 \left(9 \sqrt{5} + \sqrt{3}\right)$

#### Explanation:

Simplify : $2 \sqrt{3} - 3 \sqrt{45} - \sqrt{27}$

Break down the factor of 45 and 27 so that one of that factor is a perfect square.

$2 \sqrt{3} - 3 \sqrt{9 \cdot 5} - \sqrt{9 \cdot 3}$

Square root of 9 is 3 ....

$= 2 \sqrt{3} - 9 \sqrt{5} - 3 \sqrt{3}$

$= - 9 \sqrt{5} - \sqrt{3}$ $\text{ " or " }$
$- 1 \left(9 \sqrt{5} + \sqrt{3}\right)$