# What is the square root of 5 times the square root of 60?

Sep 21, 2015

$\sqrt{5} \times \sqrt{60} = 10 \sqrt{3}$

#### Explanation:

$\textcolor{red}{\sqrt{5}} \times \textcolor{b l u e}{\sqrt{60}}$
$\textcolor{w h i t e}{\text{XXX}} = \textcolor{red}{\sqrt{5}} \times \textcolor{b l u e}{\sqrt{{2}^{2} \times 5 \times 3}}$

color(white)("XXX")=color(red)(sqrt(5))xxcolor(blue) (2xxsqrt(5)xxsqrt(3))

$\textcolor{w h i t e}{\text{XXX}} = \textcolor{red}{\sqrt{5}} \times \textcolor{b l u e}{\sqrt{5}} \times 2 \sqrt{3}$

$\textcolor{w h i t e}{\text{XXX}} = 5 \times 2 \sqrt{3}$

$\textcolor{w h i t e}{\text{XXX}} = 10 \sqrt{3}$