# What is the square root of 6 times the square root 2?

May 1, 2018

$2 \sqrt{3}$

#### Explanation:

$\sqrt{a} \cdot \sqrt{b} = \sqrt{a \cdot b}$, thus $\sqrt{6} \cdot \sqrt{2} = \sqrt{6 \cdot 2}$

$\sqrt{12} \rightarrow$ There is a perfect square ($4$) in this that can be taken out

$\sqrt{4 \cdot 3}$

$2 \sqrt{3}$