Chap9 Section4

Elementary and Intermediate Algebra: Graphs & Models (3rd Edition)

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Section 9.4 Radical Expressions 941 Version: Fall 2007 9.4 Exercises In Exercises 1 - 14 , place each of the rad- ical expressions in simple radical form. Check your answer with your calculator. 1. 2(5 7) 2. 3(2 3) 3. 3(2 5) 4. 2(3 7) 5. 3(5 6) 6. 2( 3 10) 7. (2 5)( 3 3) 8. ( 5 2)( 2 7) 9. ( 4 3)(2 6) 10. (2 5)( 3 10) 11. (2 3) 2 12. ( 3 5) 2 13. ( 5 2) 2 14. (7 11) 2 In Exercises 15 - 22 , use the distributive property to multiply. Place your final answer in simple radical form. Check your result with your calculator. 15. 2(3 + 5) 16. 3(4 7) 17. 2( 5 + 4 2) Copyrighted material. See: 1 18. 3(4 3 2) 19. 2(2 + 2) 20. 3(4 6) 21. 2( 10 + 14) 22. 3( 15 33) In Exercises 23 - 30 , combine like terms. Place your final answer in simple radical form. Check your solution with your cal- culator. 23. 5 2 + 7 2 24. 2 3 + 3 3 25. 2 6 8 6 26. 7 3 7 27. 2 3 4 2 + 3 3 28. 7 5 + 2 7 3 5 29. 2 3 + 5 2 7 3 + 2 2 30. 3 11 2 7 2 11 + 4 7 In Exercises 31 - 40 , combine like terms where possible. Place your final answer in simple radical form. Use your calcu- lator to check your result. 31. 45 + 20 32. 4 45 4 20 33. 2 18 8
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942 Chapter 9 Radical Functions Version: Fall 2007 34. 20 + 4 45 35. 5 27 + 5 12 36. 3 12 2 27 37. 4 20 + 4 45 38. 2 18 5 8 39. 2 45 + 5 20 40. 3 27 4 12 In Exercises 41 - 48 , simplify each of the given rational expressions. Place your fi- nal answer in simple radical form. Check your result with your calculator. 41. 2 1 2 42. 3 3 3 3 43. 2 2 2 2 44. 4 5 5 5 45. 5 2 + 3 2 46. 6 3 + 2 3 47. 8 12 2 3 2 48. 27 6 3 5 3 In Exercises 49 - 60 , multiply to expand each of the given radical expressions. Place your final answer in simple radical form. Use your calculator to check your result. 49. (2 + 3)(3 3) 50. (5 + 2)(2 2) 51. (4 + 3 2)(2 5 2) 52. (3 + 5 3)(1 2 3) 53. (2 + 3 2)(2 3 2) 54. (3 + 2 5)(3 2 5) 55. (2 3 + 3 2)(2 3 3 2) 56. (8 2 + 5)(8 2 5) 57. (2 + 5) 2 58. (3 2) 2 59. ( 3 2 5) 2 60. (2 3 + 3 2) 2 In Exercises 61 - 68 , place each of the given rational expressions in simple rad- ical form by “rationalizing the denomi- nator.” Check your result with your cal- culator. 61. 1 5 + 3 62. 1 2 3 2 63. 6 2 5 2 64. 9 3 3 6
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Section 9.4 Radical Expressions 943 Version: Fall 2007 65. 2 + 3 2 3 66. 3 5 3 + 5 67. 3 + 2 3 2 68. 2 3 + 2 3 2 In Exercises 69 - 76 , use the quadratic formula to find the solutions of the given equation. Place your solutions in simple radical form and reduce your solutions to lowest terms.
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