Question

simplify by factoring.\\(\sqrt{18}\\)\\(\sqrt{18} = \square\\)\\((\text{type an exact answer, using radicals as needed.})\\)

Explanation:

Step1: Factor 18 into square factor

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

Step2: Split radical into product

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

Step3: Simplify $\sqrt{9}$

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

Answer:

$3\sqrt{2}$