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\frac{2}{27}-\sqrt{\frac{25}{64}}
Calculate \sqrt[3]{8} and get 2.
\frac{2}{27}-\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.
-\frac{119}{216}
Subtract \frac{5}{8} from \frac{2}{27} to get -\frac{119}{216}.