As long as the indices are the same, we can multiply the radicands together using the following property.

**Multiply.**

Take care to be sure that the indices are the same before multiplying. We will assume that all variables are positive.

**Simplify.**

Divide radicals using the following property.

**Divide.**

*(Assume all variables are positive.)***Rationalizing the Denominator**

**Rationalize the denominator:**

**Rationalize the denominator.**

This technique does not work when dividing by a binomial containing a radical. A new technique is introduced to deal with this situation.

**Rationalize the denominator:**

**Rationalize the denominator.**

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