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

2. 52. not simplest form; radical in the denominator of a fraction
Simplifying Radicals
ALGEBRA 1 LESSON 11-1
46.
47.
48.
50.
51.
52. not simplest form; radical in
the denominator of a fraction
53. not simplest form; radical in
35.
37.
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 • 10 = =
36 • 5 =
b. Answers may vary.
Sample: a = 36,
b = 5; a = 9, b = 20
57. 30
59.
21x 7x 3 2 n 5n
9 2 4 s 3 2b b
a2 3 2
55y 2y 3 y
3 2 2
3 2 4
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3. perfect-square factors other than 1. 73. Answers may vary.
Simplifying Radicals
ALGEBRA 1 LESSON 11-1
77. 30a4
seconds
79. C
80. F
81. B
82. I
83. [2] A = 96 ft2
s = =
16 • = 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 ±
70. 1 ± 5
71.
72. a = • 2 =
25 • =
b. The radicand has no
perfect-square factors
other than 1.
73. Answers may vary.
Sample: 12, 27, 48.
74. a in.
b in.
75. 12x
76. 10b2
60.
62.
63. – 3
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

4. 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