Flashcard 12 - Mathematics Knowledge Flashcard Set for the ASVAB

\[\sqrt[n]{\frac{a}{b}} = \frac{\sqrt[n]{a}}{\sqrt[n]{b}}\]

Pull apart the division inside the radical and express it as a division of separate radicals. \(\sqrt{\dfrac{5}{9}} = \dfrac{\sqrt{5}}{\sqrt{9}} = \dfrac{\sqrt{5}}{3}\). Remember to rationalize any denominators if necessary.