Identify the number and the root index
For square root, find the number that multiplied by itself gives the original number
For cube root, find the number that multiplied by itself three times gives the original number
Use prime factorization to group factors into sets matching the root index
Use a calculator for exact or approximate values when needed
Apply exponent rules by rewriting the root as a fractional exponent
Simplify by taking out perfect powers from under the root
Check the result by raising it back to the root index
For non-perfect roots, express the answer as a decimal approximation if required