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3\sqrt{\frac{63+1}{9}}
Multiply 7 and 9 to get 63.
3\sqrt{\frac{64}{9}}
Add 63 and 1 to get 64.
3\times \frac{8}{3}
Rewrite the square root of the division \frac{64}{9} as the division of square roots \frac{\sqrt{64}}{\sqrt{9}}. Take the square root of both numerator and denominator.
8
Cancel out 3 and 3.