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\sqrt{\frac{117+4}{9}}
Multiply 13 and 9 to get 117.
\sqrt{\frac{121}{9}}
Add 117 and 4 to get 121.
\frac{11}{3}
Rewrite the square root of the division \frac{121}{9} as the division of square roots \frac{\sqrt{121}}{\sqrt{9}}. Take the square root of both numerator and denominator.