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\sqrt{\frac{4}{9}}
Rewrite the square root of the division \frac{16}{81} as the division of square roots \frac{\sqrt{16}}{\sqrt{81}}. Take the square root of both numerator and denominator.
\frac{2}{3}
Rewrite the square root of the division \frac{4}{9} as the division of square roots \frac{\sqrt{4}}{\sqrt{9}}. Take the square root of both numerator and denominator.