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\sqrt{\frac{338+23}{169}}
Multiply 2 and 169 to get 338.
\sqrt{\frac{361}{169}}
Add 338 and 23 to get 361.
\frac{19}{13}
Rewrite the square root of the division \frac{361}{169} as the division of square roots \frac{\sqrt{361}}{\sqrt{169}}. Take the square root of both numerator and denominator.