Question

simplify.
\sqrt{72}

Explanation:

Step1: Factor 72 into perfect square

$72 = 36 \times 2$

Step2: Split square root into product

$\sqrt{72} = \sqrt{36 \times 2} = \sqrt{36} \times \sqrt{2}$

Step3: Simplify perfect square root

$\sqrt{36} = 6$, so $6 \times \sqrt{2}$

Answer:

$6\sqrt{2}$