1. Roots of Real Numbers lesson 5-5
Learning Targets:
I can simplify radicals.
I can use a calculator to approximate radicals.

2. Simplifying Radicals Even Roots: Odd Roots:
index
power
power
index
If you have an even root and an odd powered answer,
you must take the absolute value of it to get the principal root.

3. Example 1: Simplify. a. or b. c.

4. Your Turn 1: Simplify. a. b. c.

5. Example 2: Simplify. a. b.

6. Your Turn 2: Simplify. a. b. c.

7. Example 3: Use a calculator to approximate each value
to three decimal places. a.
Look at the Math button on the calculator: b. c.

8. Your Turn 2: Use a calculator to approximate each value
to three decimal places. a. b. c.

9. Learning Targets Reflection: I can simplify radicals.
I can use a calculator to approximate radicals.

11. Divide using synthetic division 3.
Warm- up Day # 8
Alg. 2B
Simplify. a) b) c)
Factor. a) b)
Divide using synthetic division 3.

12. Radical Expressions lesson 5-6
Objectives:
Simplify radical expressions.
Add, subtract, multiply, and divide radical expressions.

13. Example 1: Simplify. a. b.

14. Your Turn 1: Simplify. a. b. c.

15. Example 2: Simplify. a. b.

16. Your Turn 2: Simplify. a. b.

17. Example 3: Simplify. (Adding radicals.)

18. Your Turn 3: Simplify.

19. Example 4: Simplify. (Multiplying radicals.)b.

20. Your Turn 4: Simplify. a.

21. b.

22. Example 5: Simplify. (Dividing radicals.)
Remember conjugates!!! a.

23. b.

24. Your Turn 5: Simplify. a.

25. b.

26. Lesson 5-6: RADICAL EXPRESSIONS
CFU: pg. 256, Practice Quiz 2 (all)
Practice 5.6 (worksheet)

27. Simplify the following. 1.
Warm- up Day # 9
Alg. 2B
Simplify the following. 1. 2.
Factor the following. 3. 4.

29. Rational Expressions lesson 5-7
Objectives:
Write expressions with rational exponents in radical form, and vice versa.
Simplify expressions in exponential or radical form.

30. Example 1:
Example 2:

31. Example 3:

32. Example 1: Write the expression in radical form.
Your Turn 1: Write the expression in radical form.

33. Example 2: Write each radical using rational exponents.b.

34. Your Turn 2: Write each radical using rational exponents.b.

35. Example 3: Simplify. a.

36. b.

37. c.

38. Your Turn 3: Simplify. a. b. c.

40. Radical Equations lesson 5-8
Learning Target:
I can solve equations containing radicals.

41. Solve Radical Equations:
The following steps are used in solving equations that have variables in the radicand. Some algebraic procedures may be needed before you use these steps.
Step 1: Isolate the radical on one side of the equation.
(No #’s in front or separate.)
Step 2: To eliminate the radical, raise each side of the equation to a power
equal to the index of the radical.
Step 3: Solve the resulting equation.
Step 4: Check your solution in the original equation to make sure that you
have not obtained any extra roots.

42. Example 1: Solve.
Check:

43. Your Turn 1: Solve.
Check:

44. Example 2: Solve.
Check:

45. Your Turn 2: Solve.
Check:

46. Your Turn 3: Solve and check each equation.

47. Your Turn 3: Solve and check each equation.b.

48. Your Turn 3: Solve and check each equation.

50. Complex Numbers lesson 5-9
Learning Targets:
I can add and subtract complex numbers.
I can multiply and divide complex numbers.

51. Imaginery:

52. Example 1: Simplify. (add & subtract)

53. Your Turn 1: Simplify. a. b. c.

54. Example 2: Simplify. (multiply)

55. Your Turn 2: Simplify.

56. Example 3: Simplify. (divide)

57. Your Turn 3: Simplify.

58. Example 4: Solve.

59. Your Turn 4: Solve.

60. Check for understanding.
Simplify. 1. 2.

61. Check for understanding.3. 4.
Solve. 4.