Factor the number inside the root into perfect powers and leftovers
Rewrite the root of a perfect power as a whole number
Keep the leftover part inside the root
For square roots, use the largest perfect square factor
For cube roots, use the largest perfect cube factor
For higher roots, use the largest perfect power factor matching the index
If the number inside the root has variables, separate factors with even or matching exponents
Move factors with exponents that are multiples of the root index outside the root
Leave factors with smaller exponents inside the root
Combine like radicals only after simplifying each radical first
Rationalize the denominator if a root remains in the denominator