2. Simplifying Radical Expressions Basic multiplication Basic division o Rationalize the denominator

3. Product Property of Radicals For any numbers a and b where and,

4. Examples:

5. Quotient Property of Radicals For any numbers a and b where and,

6. Examples:

7. What if the denominator still has a radical???????

8. Rationalizing the denominator Rationalizing the denominator means to remove any radicals from the denominator.

9. Examples:

11. Simplifying Radical Expressions Add Multiply o Conjugates

12. Adding radicals We can only combine terms with radicals if we have like radicals

13. Multiplying radicals - Distributive Property

14. Check Yo Self!

15. How do we rationalize a denominator like this???????

16. Conjugates The product of conjugates is a rational number. Therefore, we can rationalize denominator of a fraction by multiplying by its conjugate.

18. Check Yo Self!