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\sqrt{\frac{9+7}{9}}
Multiply 1 and 9 to get 9.
\sqrt{\frac{16}{9}}
Add 9 and 7 to get 16.
\frac{4}{3}
Rewrite the square root of the division \frac{16}{9} as the division of square roots \frac{\sqrt{16}}{\sqrt{9}}. Take the square root of both numerator and denominator.