How do you simplify 4sqrt 6. • 6sqrt2?

Aug 2, 2017

$48 \sqrt{3}$

Explanation:

deal with the integers and roots separately.

$4 \sqrt{6} \cdot 6 \sqrt{2}$

$= \left(4 \times 6\right) \left(\sqrt{6} \times \sqrt{2}\right)$

$= 24 \sqrt{6 \times 2} = 24 \sqrt{12}$

now simplify the square root by removing perfect squares

$= 24 \sqrt{4 \times 3}$
$= 24 \sqrt{4} \sqrt{3}$
$24 \times 2 \sqrt{3}$

$= 48 \sqrt{3}$