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\sqrt{\left(\frac{11}{2}\right)^{2}}
Add \frac{5}{2} and 3 to get \frac{11}{2}.
\sqrt{\frac{121}{4}}
Calculate \frac{11}{2} to the power of 2 and get \frac{121}{4}.
\frac{11}{2}
Rewrite the square root of the division \frac{121}{4} as the division of square roots \frac{\sqrt{121}}{\sqrt{4}}. Take the square root of both numerator and denominator.