Question

Simplify the expression shown. You must show your work to receive credit.

Answer 1

ANSWER

$12 \sqrt{5}$

EXPLANATION

The given expression is

$\sqrt{2} \times \sqrt{72} \times \sqrt{5}$

The middle radical contains a perfect square.

$\sqrt{2} \times \sqrt{36 \times 2} \times \sqrt{5}$

$\sqrt{2} \times \sqrt{36} \times \sqrt{2} \times \sqrt{5}$

$6\sqrt{2} \times \sqrt{2} \times \sqrt{5}$

Note that:

$\sqrt{a} \times \sqrt{a} = a$

$6\times 2 \sqrt{5} = 12 \sqrt{5}$