Use the quotient rule: (sqrt[n]{frac{a}{b}}=frac{sqrt[n]{a}}{sqrt[n]{b}}), for (bneq 0)
Rewrite the radical as a fraction when possible
Split the numerator and denominator into separate radicals
Simplify each radical separately
Rationalize the denominator if needed
For square roots, use (sqrt{a/b}=sqrt{a}/sqrt{b})
For higher roots, use (sqrt[n]{a/b}=sqrt[n]{a}/sqrt[n]{b})
If the denominator has a radical, multiply by a form that removes it
Reduce the final expression to simplest radical form