How would you simplify 2 sqrt 3 times sqrt6?

Jun 16, 2016

$6 \sqrt{2}$

Explanation:

Knowing the property :multiplication of radicals that says:

$\sqrt{a \cdot b} = \sqrt{a} \cdot \sqrt{b}$

$2 \sqrt{3} \cdot \sqrt{6}$
$= 2 \sqrt{3 \cdot 6}$
$= 2 \sqrt{18}$
$= 2 \sqrt{2 \cdot 3 \cdot 3}$
$= 2 \cdot 3 \sqrt{2}$
$= 6 \sqrt{2}$