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QUESTION IMAGE

$\\sqrt{112}$

Question

$\sqrt{112}$

Explanation:

Step1: Factor 112 into perfect square

$112 = 16 \times 7$

Step2: Split root into product of roots

$\sqrt{112} = \sqrt{16 \times 7} = \sqrt{16} \times \sqrt{7}$

Step3: Simplify perfect square root

$\sqrt{16} = 4$, so $\sqrt{112} = 4\sqrt{7}$

Answer:

$4\sqrt{7}$ (or approximately $10.583$ if a decimal value is needed)