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\frac{\sqrt{416}}{\sqrt{25}}
Rewrite the square root of the division \sqrt{\frac{416}{25}} as the division of square roots \frac{\sqrt{416}}{\sqrt{25}}.
\frac{4\sqrt{26}}{\sqrt{25}}
Factor 416=4^{2}\times 26. Rewrite the square root of the product \sqrt{4^{2}\times 26} as the product of square roots \sqrt{4^{2}}\sqrt{26}. Take the square root of 4^{2}.
\frac{4\sqrt{26}}{5}
Calculate the square root of 25 and get 5.