Question

$3\sqrt{18} = \square$
(type an exact answer, using radicals as needed. simplify you

Explanation:

Step1: Factor radicand into perfect square

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

Step2: Simplify the radical

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

Step3: Multiply by the coefficient

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

Answer:

$9\sqrt{2}$