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61. 63. 65. 67. 71. 73. 75. 79. write the expression in exponent fonn. @ Jn Exercises 29. 19-24 25-33 26. It In Exercises In Exercises V48 "Vi' � 30. '1(-�r 4x2 35. � 4:-x+y 38. v'200 42. � V'24blocl4 4 50. 3Vtl 8a2b2 54. 2 v'2b 57-66 and 2v'3 + 5v'3 3Yx+ 4Yx 2 v'27 v'i2 - V48 � + \/45 - � + 2Vs0 2Vs - (3Vs + 4Vs) 67-74 v'3cv'3 + 4> 68. v'scv'2- v'3> cv'2 - v'3>2 cv5X + v'2Y> cvlh - 2v'2Y> 3 75-86 76. V7-3-9 v'2 + 3 -3 4 3Va+ 2 - v'2Y simplify combine tenns. + In Exercises multiply and simplify.

2Y2 3Y b a2 - 4b2 32. aa++2b • a2 b2 - 2x - 3 x2 - 4x + 3 33. x22X2x 3x3 - 3x2 In Exercises 34-37 find the LCD. -1 2 3 34. 2? '"=4 x - 2 -3 35. ::-; � (x - l )2 -4 x + 2 36· (x -2 )y' 7• 5(x - 1)2 l y- 1 x 37· Xl(y + I)' 2xy -22x' +3x8y + 4 .. xy2 + x2y x- 112 + 5x2 - x ln Exercises 39· x2 -3 1 6 - x -2 4 4 38. 2 + 7-=4 3 2 x + 2 x 1 40. x- 1 ! _ _ _ _ _ nomials. (c) . and simplify. Which of the following expressions are not poly (a) + 4y2 dollars, A salesperson receives where is the number of hours worked and is the salesperson if and simplify.

2 = -( 1 ) 18 . 8 COMPLEX NUMBERS 53 It is easy also to write square roots of negative numbers in tenns of example, V-25 i. For = ;Y25 = 5i and, in general, we define V-a = Na Any number of the form number. * a >0 bi, where b is a real number, is ca1led an imaginary WARNING The rule Va · v'b for v=4v'=9 * V36 = V;J holds only when a and b ;;: v=4v=9 = 2i . 3i = 6i2 = - 6 c:= 0 0. Instead, write Having created imaginary numbers, we next combine real and imaginary numbers. We say that + where are real numbers, is a complex number.