2. A or of radicals can be simplified using the following rules. 1. Simplify each in the sum. 2. Then, combine radical terms containing the same and. sumdifference radical indexradicand

3. 1.2.

4. 3.4.

5. 5.6.

6. To rationalize a denominator containing two terms, we need to multiply the numerator and denominator by the of the denominator. Conjugates of radical expressions involve the sum or difference of the same two terms. Example: and conjugate

7. Multiply the conjugates below:

8. *Think difference of squares!

9. 7. 8.

10. We use this idea to rationalize a denominator because it gets rid of the. radical

11. 9.

12. 10.

13. 11.

14. 12.