92 CHAPTER R Review of Basic Concepts Use the rules for radicals to perform the indicated operations. Assume all variable expressions represent positive real numbers. See Example 5. 47. 27 # 228 48. 25 # 220 49. 211 # 244 50. 23 # 275 51. 25 x2 # 25 x3 52. 23 y2 # 23 y 53. 24 m2 # 24 m2 54. 26 z3 # 26 z3 55. 214 # 23pqr 56. 27 # 25xt 57. 23 7x # 23 2y 58. 23 9x # 23 4y 59. B9 25 60. B16 49 61. -B3 5 8 62. -B4 3 16 63. B4 m n4 64. B6 r s6 65. 23 14 66. 24 125 67. 24 13 2 68. 25 13 9 69. 23 7 # 23 70. 24 6 # 23 11 Simplify each radical. Assume all variables represent positive real numbers. See Examples 6 and 7. 71. 272 72. 2192 73. 23 81 74. 23 250 75. -24 32 76. -24 243 77. -624 256 78. -925 243 79. 325 -3125 80. 523 -343 81. 23 161-2241228 82. 23 251-3241523 83. 28x5z8 84. 224m6n5 85. 24 x4 + y4 86. 23 27 + a3 87. 28 34 88. 29 53 89. 26 113 90. 28 54 91. 26 x18y2 92. 28 a4b16 93. 26 153 94. 29 14 73 Perform the indicated operations. Assume all variables represent positive real numbers. See Examples 8 and 9. 95. 822x - 28x + 272x 96. 4218k - 272k + 250k 97. 3272m2 - 5232m2 - 3218m2 98. 9227p2 - 142108p2 + 2248p2 99. 223 3 + 423 24 - 23 81 100. 23 32 - 523 4 + 223 108 101. 4 32 + 324 2 102. 24 405 - 224 5 103. 223 16 + 23 54 104. 1523 81 + 423 24 105. 3x23 xy2 - 223 8x4y2 106. 6q223 5q - 2q23 40q4 107. 324 x5y - 2x24 xy 108. 224 m9p6 - 3m2p24 mp2 109. 23 64xy2 + 23 27x4y5 110. 4 625s3t + 24 81s7t5 111. 24 81x6y3 - 24 16x10y3 112. 24 256x5y6 + 24 625x9y2 113. 526 + 2210 114. 3211 - 5213 115. 26 A3 + 27B 116. 210 A5 + 23B
RkJQdWJsaXNoZXIy NjM5ODQ=