1. To divide radicals: divide the coefficients divide the radicands if possible rationalize the denominator so that no radical remains in the denominator 7-5 Multiplying and Dividing Radicals Day 2

2. We need to rationalize the denominator by multiplying the fraction by a number that will give us a perfect square under the radical in the denominator – this will eliminate the radical in the denominator. 42 cannot be simplified, so we are finished.

3. This can be divided which leaves the radical in the denominator. We need to rationalize the denominator by multiplying the fraction by a number that will give us a perfect square under the radical in the denominator – this will eliminate the radical in the denominator.

4. This cannot be divided which leaves the radical in the denominator. We need to rationalize the denominator by multiplying the fraction by a number that will give us a perfect square under the radical in the denominator – this will eliminate the radical in the denominator. Reduce the fraction.

5. Example 8 #1 Rationalize the denominator of

6. Example 8 #2 Rationalize the denominator of

7. Example 9 #1 To rationalize the denominator of a fraction with square roots in a binomial in the denominator, you must multiply by the conjugate. Use FOIL to simplify the denominator. The conjugate of a + b is a – b / The conjugate of a – b is a + b Rationalize the denominator:

8. Example 9 #2 To rationalize the denominator of a fraction with square roots in a binomial in the denominator, you must multiply by the conjugate. Use FOIL to simplify the denominator. The conjugate of a + b is a – b / The conjugate of a – b is a + b Rationalize the denominator:

9. Homework: Pg 479 #52, 56, 60, 62, 70, 72, 80, 82, 84, 90, 92, 102