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\frac{4\sqrt{7}}{8}
Factor 112=4^{2}\times 7. Rewrite the square root of the product \sqrt{4^{2}\times 7} as the product of square roots \sqrt{4^{2}}\sqrt{7}. Take the square root of 4^{2}.
\frac{1}{2}\sqrt{7}
Divide 4\sqrt{7} by 8 to get \frac{1}{2}\sqrt{7}.