Question

simplify.
$9\sqrt{18}$

Explanation:

Step1: Factor radicand into square factor

$\sqrt{18} = \sqrt{9 \times 2}$

Step2: Split square root of product

$\sqrt{9 \times 2} = \sqrt{9} \times \sqrt{2} = 3\sqrt{2}$

Step3: Multiply with outside coefficient

$9 \times 3\sqrt{2}$

Answer:

$27\sqrt{2}$