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Question
$\sqrt{147}$
Step1: Factor out perfect square
$\sqrt{147} = \sqrt{49 \times 3}$
Step2: Split the square root
$\sqrt{49 \times 3} = \sqrt{49} \times \sqrt{3}$
Step3: Simplify perfect square root
$\sqrt{49} \times \sqrt{3} = 7\sqrt{3}$
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$7\sqrt{3}$ (or approximately 12.124 if a decimal value is needed)