# How do you simplify sqrt6+2sqrt6?

Sep 4, 2015

=color(blue)(-18

#### Explanation:

$\sqrt{6} + 2 \sqrt{6}$ can be simplified by multiplying the expression by its conjugate term which is =color(blue)(sqrt6-2sqrt6

$= \left(\sqrt{6} + 2 \sqrt{6}\right) \cdot \left(\textcolor{b l u e}{\sqrt{6} - 2 \sqrt{6}}\right)$ , here we can apply the below property:
(a+b)(a-b) = color(blue)((a^2-b^2)

$= \left(\sqrt{6} + 2 \sqrt{6}\right) \cdot \left(\textcolor{b l u e}{\sqrt{6} - 2 \sqrt{6}}\right) = {\left(\sqrt{6}\right)}^{2} - {\left(2 \sqrt{6}\right)}^{2}$

$= 6 - 24$
=color(blue)(-18