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\sqrt{\frac{242+47}{121}}
Multiply 2 and 121 to get 242.
\sqrt{\frac{289}{121}}
Add 242 and 47 to get 289.
\frac{17}{11}
Rewrite the square root of the division \frac{289}{121} as the division of square roots \frac{\sqrt{289}}{\sqrt{121}}. Take the square root of both numerator and denominator.