Dividing and Multiplying Radicals

E. Dividing and Multiplying Radicals

The order in which the coefficient and radicand are multiplied does not matter.

This is the commutative property.

When multiplying radicals in exact value form, some rules must be followed.

Radicals without 'like' radicands can be multiplied.

A product of two radicals can only be simplified if the index of one radical matches the index of the other.

To simplify, multiply the coefficients and multiply the radicands, as shown in Examples 2, 3, and 4.