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9\sqrt{\frac{1}{9}}
Calculate the square root of 81 and get 9.
9\times \frac{1}{3}
Rewrite the square root of the division \frac{1}{9} as the division of square roots \frac{\sqrt{1}}{\sqrt{9}}. Take the square root of both numerator and denominator.
\frac{9}{3}
Multiply 9 and \frac{1}{3} to get \frac{9}{3}.
3
Divide 9 by 3 to get 3.