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\sqrt{\frac{25}{100-36}}
Add 9 and 16 to get 25.
\sqrt{\frac{25}{64}}
Subtract 36 from 100 to get 64.
\frac{5}{8}
Rewrite the square root of the division \frac{25}{64} as the division of square roots \frac{\sqrt{25}}{\sqrt{64}}. Take the square root of both numerator and denominator.