What is the square root of 6 times the square root of 12?

Sep 3, 2015

$6 \sqrt{2}$

Explanation:

The square root of $6$ is written as : $\textcolor{red}{\sqrt{6}}$
and the square root of $12$ is written as : $\textcolor{red}{\sqrt{12}}$

So, the square root of $6$ times the square root of $12$ is written as : $\textcolor{red}{\sqrt{6} \cdot \sqrt{12}}$

This can also be written as : $\textcolor{red}{\sqrt{6 \cdot 12}}$

We know that $12 = 6 \cdot 2$

So, we can write that as : $\textcolor{red}{\sqrt{6 \cdot 6 \cdot 2}} \rightarrow \sqrt{36 \cdot 2} \rightarrow \textcolor{b l u e}{6 \sqrt{2}}$