Divide the coefficients outside the radicals
Divide the numbers inside the radicals
Keep the same radical index
Simplify the radical if possible
Rationalize the denominator if needed
Use the quotient rule: (sqrt[n]{a} div sqrt[n]{b} = sqrt[n]{frac{a}{b}})
For square roots: (sqrt{a} div sqrt{b} = sqrt{frac{a}{b}})
For like radicals, divide the coefficients and keep the radical part
Reduce the fraction inside the radical before simplifying
Check for perfect powers to simplify further