A new guideline for simplifying radicals is introduced: the terms in a fully-simplified radical expression must have no common radical factors. Simplifying a radical expression by adding or subtracting common radical factors is illustrated.
Simplifying a radical by multiplying first to get a perfect square in the radicand.
The process of simplifying to find a common radical factor is demonstrated.
Instances are demonstrated where simplifying radicals before multiplying are indicated.
Simplifying a radical expression that has no common radical factor using subtraction.
The procedure for simplifying radicals by beginning with multiplication is demonstrated.