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5\times \frac{\sqrt{53}}{\sqrt{64}}
Rewrite the square root of the division \sqrt{\frac{53}{64}} as the division of square roots \frac{\sqrt{53}}{\sqrt{64}}.
5\times \frac{\sqrt{53}}{8}
Calculate the square root of 64 and get 8.
\frac{5\sqrt{53}}{8}
Express 5\times \frac{\sqrt{53}}{8} as a single fraction.