# How do you simplify square root of 10 times square root of 8?

Oct 9, 2015

$\sqrt{10} \times \sqrt{8} = 4 \sqrt{5}$

#### Explanation:

$\textcolor{red}{\sqrt{10}} \times \textcolor{b l u e}{\sqrt{8}}$

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

$\textcolor{w h i t e}{\text{XX}} = \textcolor{red}{\sqrt{2}} \cdot \textcolor{b l u e}{\sqrt{2} \cdot 2} \cdot \textcolor{red}{\sqrt{5}}$

$\textcolor{w h i t e}{\text{XX}} = 2 \cdot \textcolor{b l u e}{2} \cdot \textcolor{red}{\sqrt{5}}$

$\textcolor{w h i t e}{\text{XX}} = 4 \sqrt{5}$