f9611a0d-which-formula-expresses-the-quotient-rule-for-radicals-of-index-n

Question

Which formula expresses the quotient rule for radicals of index nn?

Accepted Answer

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

Answer

abn=a1nb1n+1\sqrt[n]{\frac{a}{b}}=\frac{$$a^{\frac{1}$${n}}}{$$b^{\frac{1}$${n+1}}}

Answer

abn=an⋅bn\sqrt[n]{\frac{a}{b}}=\sqrt[n]{a}\cdot\sqrt[n]{b}

Answer

abn=an−bn\sqrt[n]{\frac{a}{b}}=\sqrt[n]{a}-\sqrt[n]{b}