Simplifying Radicals pages 581–583 Exercises 1. 10 2 2. 7 2 3. 5 3 ALGEBRA 1 LESSON 11-1 pages 581–583  Exercises 1. 10 2 2. 7 2 3. 5 3 4. –4 5 5. –6 30 6. 40 5 7. 2n 7 8. 6b2 3 9. 6x 3 10. 2n n 11. 2a2 5a 26. 12 mi 27. 17 mi 28. 29. 30. 31. 32. 33. 34. 12. –4b2 3 13. 20 14. 18 15. 11 2 16. 84 3 17. 7 3 18. –30 3 19. 6n 2 20. 14t 2 21. 3x2 17 22. 80t 3 23. 3a3 2 24. –6a2 2 25. 3 mi 21 7 3 3 2 5 2 2 30 11 5 3a 7 4c 5 3a 7 11-1

52. not simplest form; radical in the denominator of a fraction Simplifying Radicals ALGEBRA 1 LESSON 11-1 45. 5 46. 47. 48. 49. 2 3 50. 51. 52. not simplest form; radical in the denominator of a fraction 53. not simplest form; radical in 35. 36. 3 37. 38. 2 3 39. –2 5 40. 2x 7 41. 42. 43. 44. 2n 2n 9 54. Simplest form; radicand has no perfect-square factors other than 1. 55. Simplest form; radicand has 56. a. 18 • 10 = 180 = 36 • 5 = 6 5 b. Answers may vary. Sample: a = 36, b = 5; a = 9, b = 20 57. 30 58. 2 13 59. 21x 7x 3 2 2 10n 5n 9 2 4 s 3 2b b a2 3 2 55y 2y 3 y 3 2 2 3 2 4 11-1

perfect-square factors other than 1. 73. Answers may vary. Simplifying Radicals ALGEBRA 1 LESSON 11-1 77. 30a4 78. seconds 79. C 80. F 81. B 82. I 83. [2] A = 96 ft2 s = 96 = 16 • 6 = 4 6 ft [1] correct answer, without work shown 84. quadratic; y = 0.2x2 85. exponential; y = 4(2.5)x 86. linear; y = –4.2x + 7 69. –3 ± 3 2 70. 1 ± 5 71. 72. a. 50 = 25 • 2 = 25 • 2 = 5 2 b. The radicand has no perfect-square factors other than 1. 73. Answers may vary. Sample: 12, 27, 48. 74. a. 2 6 in. b. 4.90 in. 75. 12x 76. 10b2 60. 61. 2 15 62. 63. – 3 64. 4 5 65. 2ab 5b 66. ab2c abc 67. 68. –2 a a2 2 ± 10 3 x y y 2 3m 4m 8 6a 3a 11-1

Simplifying Radicals 89. 87. 90. 3n2 + 5n + 5 88. 91. 3v2 – v – 9 ALGEBRA 1 LESSON 11-1 89. 90. 3n2 + 5n + 5 91. 3v2 – v – 9 92. 5t 3 + 8t 2 – 14t – 11 93. –3b2 – 23b – 21 87. 88. 11-1