Solved, Simplify Radical Expression Problems

Simplest radical form means simplifying the radical such that there are no square roots , cube roots to find.

Example: Simplify the number 252

Step 1: Find the prime factorization of the number inside the radical.

252 = 2 * 2 * 3 * 3 * 7

Step 2: Determine the index of the radical. In this case, the index is two because it is a square root, which means we need two of a kind.

252 = √¯¯¯¯2*2*3*3*7

Step 3: Move each group of numbers or variables from inside the radical to outside the radical. In this case, the pair of 2s and 3s moved outside the radical.

= 2 * 3√¯¯¯¯7

Step 4: Simplify the expressions both inside and outside the radical by multiplying.

= ± 6√¯¯¯¯7