Use the quotient rule for radicals: (sqrt[n]{a} div sqrt[n]{b} = sqrt[n]{frac{a}{b}}), where (b neq 0)
Divide the numbers inside the radicals
Simplify the resulting radical if possible
If needed, rationalize the denominator
For square roots, (sqrt{a} div sqrt{b} = sqrt{frac{a}{b}})
For different indices, rewrite the radicals with a common index first
Check that all expressions are defined before simplifying