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\sqrt{\left(\frac{1}{6}\right)^{2}}
Subtract \frac{13}{2} from \frac{20}{3} to get \frac{1}{6}.
\sqrt{\frac{1}{36}}
Calculate \frac{1}{6} to the power of 2 and get \frac{1}{36}.
\frac{1}{6}
Rewrite the square root of the division \frac{1}{36} as the division of square roots \frac{\sqrt{1}}{\sqrt{36}}. Take the square root of both numerator and denominator.