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QUESTION IMAGE

$\\sqrt{147}$

Question

$\sqrt{147}$

Explanation:

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

$\sqrt{49} \times \sqrt{3} = 7\sqrt{3}$

Answer:

$7\sqrt{3}$ (or approximately 12.124 if a decimal value is needed)