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\frac{\sqrt{72}}{\sqrt{25}}
Rewrite the square root of the division \sqrt{\frac{72}{25}} as the division of square roots \frac{\sqrt{72}}{\sqrt{25}}.
\frac{6\sqrt{2}}{\sqrt{25}}
Factor 72=6^{2}\times 2. Rewrite the square root of the product \sqrt{6^{2}\times 2} as the product of square roots \sqrt{6^{2}}\sqrt{2}. Take the square root of 6^{2}.
\frac{6\sqrt{2}}{5}
Calculate the square root of 25 and get 5.