Question

simplify.
\sqrt{147}

Explanation:

Step1: Factor 147 into square factor

$147 = 49 \times 3$

Step2: Split square root into product

$\sqrt{147} = \sqrt{49 \times 3} = \sqrt{49} \times \sqrt{3}$

Step3: Simplify perfect square root

$\sqrt{49} = 7$, so $\sqrt{147} = 7\sqrt{3}$

Answer:

$7\sqrt{3}$