Rationalizing a denominator: This means to get rid of a radical in a denominator. We do this by multiplying the fraction
by a radical of the same index to create a perfect square, cube, fourth, fifth, etc under the radical in the denominator, so
then the radical can be simplified away.
√
=
Dividing Radicals
index must be the same
√
Example 3: Write each of the following in simplified form that satisfies all three conditions.
a)
b)
√
c)