How would you simplify sqrt6 * sqrt2?

Apr 27, 2016

$2 \sqrt{3}$

Explanation:

We can write the numbers as $\sqrt{2 \times 3} \times \sqrt{2}$

$= \sqrt{2} \times \sqrt{3} \times \sqrt{2}$

Here, $\textcolor{red}{\sqrt{2} \times \sqrt{2} = \sqrt{2 \times 2} = 2}$

$= 2 \times \sqrt{3}$

$= 2 \sqrt{3}$