# How do you simplify sqrt2 ( sqrt8 + 3)?

Jun 13, 2015

$\textcolor{b l u e}{4 + 3 \sqrt{2}}$

#### Explanation:

$\textcolor{red}{\sqrt{2}} \left(\sqrt{8} + 3\right)$
Here, we multiply $\sqrt{2}$ with each of the terms within the bracket.

$= \left(\textcolor{red}{\sqrt{2}} . \sqrt{8}\right) + \left(\textcolor{red}{\sqrt{2}} . 3\right)$

$= \textcolor{red}{\sqrt{16}} + 3 \sqrt{2}$

$= \textcolor{b l u e}{4 + 3 \sqrt{2}}$