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$\dfrac{\sqrt[n]{a}}{\sqrt[n]{b}}=\sqrt[n]{\dfrac{a}{b}}$

Theory

A fraction where both numerator and denominator are radicals can be simplified by taking the th root of the entire fraction. This rule applies for all non-negative real numbers where the denominator is not and can be shown by rewriting the radicals as powers and using the Quotient of Powers Property.