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## Roots, Radicals, and Complex Numbers

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**1. **Roots, Radicals, and Complex Numbers Chapter 7

**2. **Chapter Sections Chapter 1 OutlineChapter 1 Outline

**3. ** 7.1 Roots and Radicals

**4. **Definitions

**5. **Definitions

**6. **Definitions

**7. **Definitions

**8. **Definitions

**9. **Definitions

**10. **Cube and Fourth Roots

**11. **Even and Odd Indices

**12. **Even and Odd Indices

**13. **Cube and Fourth Roots

**14. **Evaluate by Using Absolute Value

**15. ** 7.2 Rational Exponents

**16. **Changing a Radical Expression

**17. **Changing a Radical Expression

**18. **Simplifying Radical Expressions

**19. **Rules of Exponents

**20. **Rules of Exponents

**21. **Rules of Exponents

**22. **Factoring Expressions

**23. ** 7.3 Simplifying Radicals

**24. **Definitions

**25. **Perfect Powers

**26. **Product Rule for Radicals

**27. **Product Rule for Radicals

**28. **Product Rule for Radicals

**29. **Quotient Rule for Radicals

**30. **Quotient Rule for Radicals

**31. ** 7.4 Adding, Subtracting, and Multiplying Radicals

**32. **Like Radicals

**33. **Adding & Subtracting

**34. **CAUTION!

**35. **Multiplying Radicals

**36. **Multiplying Radicals

**37. ** 7.5 Dividing Radicals

**38. **Rationalizing Denominators

**39. **Conjugates

**40. **Simplifying Radicals

**41. **Simplifying Radicals

**42. **Simplifying Radicals

**43. ** 7.6 Solving Radical Equations

**44. **Radical Equations

**45. **Extraneous Roots

**46. **Two Square Root Terms

**47. **Nonradical Terms

**48. **Summary

**49. ** 7.7 Complex Numbers

**50. **Complex Numbers using i

**51. **Complex Numbers using i

**52. **Adding and Subtracting

**53. **Adding and Subtracting

**54. **Multiplying

**55. **Multiplying

**56. **CAUTION!

**57. **Dividing

**58. **Dividing

**59. **Finding Powers of i

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