When dividing radicals, only the numbers outside the radicals are divided in the numerator and denominator, and the same for numbers inside radicals. This can sometimes leave a radical in the denominator, which is improper. To fix this, a process called rationalizing the denominator is used to remove radicals from the denominator. Examples are provided of dividing radicals and rationalizing denominators.

1. Dividing Radicals & Rationalizing Denominators September 18, 2014
Lesson 7 - Dividing Radicals
When dividing radicals, we divide only the
numbers that are outside the radical in the
numerator, by those outside the radical in the
denominator, and likewise with those inside.
Examples:

2. Dividing Radicals & Rationalizing Denominators September 18, 2014
This one leaves us with a radical in the
denominator! Bad form!
We use a process called rationalizing the
denominator to remove it....

3. Dividing Radicals & Rationalizing Denominators September 18, 2014

4. Dividing Radicals & Rationalizing Denominators September 18, 2014

5. Dividing Radicals & Rationalizing Denominators September 18, 2014

6. Dividing Radicals & Rationalizing Denominators September 18, 2014

7. Dividing Radicals & Rationalizing Denominators September 18, 2014