1. EQ: How are properties of exponents used to simplify radicals? What is the process for adding and subtracting radicals?

2. Parts of a radical expression:

3. How to Simplify  1. Factor the term  2. Rewrite under the radical  3. Circle groups of like terms according to index  Two (square root)  Three (cube root)  Four (fourth root)  4. Simplify

4. a) Simplify

5. b) Simplify

6. c) Simplify

7. d) Simplify

11. Simplify

18. Adding & Subtracting Radicals  You can only add “like radical expressions”. This means you can only add radicals if the index and radicands are the same.

19. a)

20. b)

21. c)

22. d)

23. e)

24. f)

25. Different Radicands  You can only add “like radical expressions.” In order to simplify, you must simplify each radical, then only add/subtract terms with the same radicand.

26. Ex 5) Simplify

27. You Try!

28. Simplify

30. Simplify:

37. Simplify

40. Simplify:

43. Combined expressions: Simplify: