# How do you simplify sqrt 5(10 - 4 sqrt2)?

Jun 13, 2015

 = color(blue)(10sqrt5 -4sqrt10

#### Explanation:

$\textcolor{red}{\sqrt{5}} \left(10 - 4 \sqrt{2}\right)$

Multiplying $\textcolor{red}{\sqrt{5}}$ with each term within the brackets.

$= \textcolor{red}{\sqrt{5}} .10 - \textcolor{red}{\sqrt{5}} .4 \sqrt{2}$
 = color(blue)(10sqrt5 -4sqrt10