Question

$\sqrt{150} = \square$
(type an exact answer, using radicals as needed.)

Explanation:

Step1: Factor 150 into square factor

$150 = 25 \times 6$

Step2: Separate radicals using product rule

$\sqrt{150} = \sqrt{25 \times 6} = \sqrt{25} \times \sqrt{6}$

Step3: Simplify perfect square root

$\sqrt{25} = 5$, so $\sqrt{150} = 5\sqrt{6}$

Answer:

$5\sqrt{6}$