# What is the square root of 21 multiplied by the square root of 14?

Oct 19, 2015

$\sqrt{21} \cdot \sqrt{14} = 7 \sqrt{6}$

#### Explanation:

$\textcolor{red}{\sqrt{21}} \cdot \textcolor{b l u e}{\sqrt{14}}$

$\textcolor{w h i t e}{\text{XXX}} = \textcolor{red}{\sqrt{7} \cdot \sqrt{3}} \cdot \textcolor{b l u e}{\sqrt{7} \cdot \sqrt{2}}$

$\textcolor{w h i t e}{\text{XXX}} = \textcolor{red}{\sqrt{7}} \cdot \textcolor{b l u e}{\sqrt{7}} \cdot \textcolor{red}{\sqrt{3}} \cdot \textcolor{b l u e}{\sqrt{2}}$

$\textcolor{w h i t e}{\text{XXX}} = 7 \sqrt{6}$