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\sqrt{\left(-\frac{7}{2}\right)^{2}}
Subtract 4 from \frac{1}{2} to get -\frac{7}{2}.
\sqrt{\frac{49}{4}}
Calculate -\frac{7}{2} to the power of 2 and get \frac{49}{4}.
\frac{7}{2}
Rewrite the square root of the division \frac{49}{4} as the division of square roots \frac{\sqrt{49}}{\sqrt{4}}. Take the square root of both numerator and denominator.