- (a) (b) 45.
- 1 85.4 in. 87.
88.They are not like terms. 89. 90.They are not like
radicals. 91.Make the first term 30x, so that. Make
the first term , so that. 92.When
combining like terms, we add (or subtract) the coefficients of the common
factors of the terms:. When combining like radicals,
we add (or subtract) the coefficients of the common radical terms:
. 93. 95. 97.
- 1 85.4 in. 87.
Summary Exercises on Operations with Radicals
(page 530)
- 1 23.
- 4 26. (a) 6 (b) 27. (a) 9 (b)
- (a) (b) 29. (a) (b)
- (a) (b) 31. (a) (b) 32. (a)
(b) 33. (a) (b) 34. (a)
(b)0.2 35. (a) (b)0.4 36. ; ;
; or ; Solution set:
Section 8.6 (pages 536–539)
- 31.When the left side is squared, the result should be
not. The correct solution set is 33.
- 31.When the left side is squared, the result should be
- 51.We cannot square term by term.
The left side must be squared as a binomial in the first step. The correct
solution set is 546. 53. 526 55. 596 57. 5 4, 20 6 59. 5 - 56
- 51.We cannot square term by term.
586 596 5 2, 11 65126 5 - 2,- 16 5116 5 - 1, 3 6 596x-1, - 1 x- 12 5176. 5 - 2, 1 6
566 051216 586 516 566 0 556 5765496 576 5856 5 - 456 E- 23 F 01 x+ 521 x- 52 = 0 x=- 5 x= 5 5 - 5, 5 6
5 - 0.4, 0.4 6 x^2 = 25 x^2 - 25 = 0E-^45 ,^45 F - 107 E- 107 , 107 F^5 - 0.2, 0.2^6E- 21 ,^12 F^12 E-^17 , 71 F 71 -^455 - 2, 2 6 - 2 5 - 3, 3 6 - 33232 t^25 - 6, 6 6 5 - 9, 9 6- x^224 x
22318
9
323 x 52 + 3023
53 422 -^223211 -^223026 x
3 x2 t- (^232) xyz (^223) y (^2423326) + 1
t- 3
- 33
(^26) - 3 - 222 427 + 425
2
73 - 12235
- 3210 5 - 215 2 - 26 + 223 - 322 622
22 ab+ 52 ab= 72 ab E 21 , 43 F 5 - 3,- 16 5 - 3, 1 6
2 xy+ 5 xy= 7 xy3025 3025 + 1825 = 482530 x+ 18 x= 48 x30 + 1825- 1 + 3232 - 234 30 + 18 x
2 - 3234 12 + 10248
2 + 22
36 - 210
223 + 5
4
27 - 2
2 x- 2 y
x-y(^8) A 4 + 2 xB
16 - x
210 + 215 3 - 23
423 - 22 + 1026 + (^5221) + 214 + 26 + 2
23
622 + 12 + 210 - 225
2
26 + 22 + 323 + 3
2
3 + 523
2 - 211 3 - (^2311)
25 - 23 26 + 25 - 2 + 25
6 t- 3214 t+ 227 t- 722 3 m- 2 n 61. 63. 65. 67. 69. 21 71. 8
- (a)70.5 mph (b)59.8 mph (c)53.9 mph 75.yes; 26 mi
77.47 mi 79. 80. sq. units 81. - sq. units 83. 84.They are both
Section 8.7 (pages 542–543)
1.A 3.C 5. 5 7. 4 9. 2 11. 2 13. 8 15. 9 17. 8 19. 4
- 2 61. 2
Chapter 8 Review Exercises (pages 547–549)- , 7 2. , 9 3. , 14 4. , 11 5. , 15
- , 27 7. 4 8. 9. 10 10. 3 11.It is not a real number.
- 8 17.48.3 cm
18.irrational; 10.536 19.rational; 20.It is not a real number.
- 8 17.48.3 cm
- 12 26. 18
- 8 36. 37.p 38. 39.
- 0 48. 49.
- 9
- or 343 90. 91. 92. 7 93. 16
- (a)57 species (b)347 species
1123 576 0 586166 + 227 7 - 2210 x^2 - 112 + 213
210 - 5215 - (^7222)
4 r 23 rs
5 5 y (^223) s
5 - 22
23
2210
5
5 73 , 13 7/5 x3/4
5 - 26 5 - 3,- 16 5 - 26 546 5 - 163 + 423 5256 0 5486 516 5261 + 327
43 + 226
3223 + 2 + 322 + 26
2
2 + 622
13 - 2 + (^2517)
326 + 12 22 - 1623 179 + 2027 - 2
(^2398) - 215 - 9
7
239
3
r 2 x
4 x
242
21
210
210
5
230
(^252615)
8210
5
222 6230 52 x -m 25 11 k^222 n
2123 1223 327 223 + 3210
x^5 y^8 a^7 b^102 ab 11 x^3 y^58211922
152 322 222 2 km r^9
25
6
27
13
23
7
11
(^16262521020)
523 - 323 4210 - 11
- 5
- 65 76 109 253
- 27 - 6
- 7 - 9 - 14 - 11 - 15
7232 a 23 k^2 - 11, 11 - 21 , 21 2259a m1/6
4
b3/2x9/5 r1/9 m^2 n1/66 2/9
1
2 8/553(^623)
(^111) 1/7 83 1/2
15 1/2
1
6 1/2
- 4 - 4 3431 361 - 321 2 8/3
(^3) c 13
2
p^2
1
a^3
56
3213 6213 sq. units 6213.
s=13 units 6213 h= 213 units
E- 32 F 5 - 1, 8 6 E 34 , 2F 5 - 27, 3 6
Answers to Selected Exercises A-21