1. 5.6 Radical Expressions Rationalizing the denominator Like radical expressions Conjugates

2. Product Property of Radicals If you have the same index, then you can multiply the radicands.

3. Product Property of Radicals Also, go the other way, the simplify radical expressions

4. Simplify

6. Quotient Property of Radicals Quotients can be broken apart.

7. Some rules about Radicals Reduce them to the lowest index.

8. Some rules about Radicals Radicals can not have fractions in them. This is called Rationalizing the denominator.

9. Some rules about Radicals Radicals can not be in the denominator. No tents in the basement.

10. Simplify

16. Multiply Radicals You can only multiply radicals if they have the same index.

17. Adding and Subtract Radicals If radical are to the same index and have the same radicand, then they are like radical expressions. Like radicals can be added or subtracted.

18. Simplify Simplify radicals first.

19. Simplify Simplify radicals first.

20. Simplify Simplify radicals first.

21. Simplify Simplify radicals first.

22. Multiply Radicals Remember foiling

23. Multiply Radicals Remember foiling

24. Multiply Radicals Remember foiling

25. Multiply Radicals Remember foiling

26. Simplify

28. Conjugate You can not have radicals in the denominator. We have to use the conjugate to rational the denominator in fractions.

29. Conjugate You can not have radicals in the denominator. We have to use the conjugate to rational the denominator in fractions.

30. Conjugate You can not have radicals in the denominator. We have to use the conjugate to rational the denominator in fractions.

31. Simplify Use the conjugate

32. Simplify Use the conjugate

33. Homework Page 254 – 255 #15 – 49 odd 57,58

34. Homework Page 254 – 256 #16 – 48 even 75 - 82