**Multiply.**

**Instructional Video**: Multiplying Radicals

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:**

Multiply numerator and denominator by the 5th root of of factors that will result in 5th powers of each factor in the radicand of the denominator.

Notice that all the factors in the radicand of the denominator have powers that match the index. This was the desired result, now simplify.

**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:**

Multiply numerator and denominator by the conjugate of the denominator.

And then simplify. The goal is to eliminate all radicals from the denominator.

**Rationalize the denominator.**

**Video Examples on YouTube:**

J. Redden on G+