I
1. 2.
3. 4.
5. 6.
II
A. 3 B.
C. 2 D.
E. - 5 F. Not a real number
- 3
- 2
2481 238
23 - 27 25 - 32
- 225 2 - 25
SECTION 8.1 Radical Expressions and Graphs 433
Complete solution available
on the Video Resources on DVD
8.1 EXERCISES
Match each expression from Column I with the equivalent choice from Column II. Answers
may be used more than once. See Examples 1 and 2.
Find each root that is a real number. See Examples 1 and 2.
23. 24. 25. 26.
27. 28. 29. 30.
31. 32. 33. 34.
35. 36. 37. 38.
39.Concept Check Consider the expression. Decide whether it is positive, nega-
tive,0, or not a real numberif
(a) , (b) , (c).
40.Concept Check If nis odd, under what conditions is
(a)positive, (b)negative, (c)0?
Graph each function and give its domain and range. See Example 3.
Simplify each root. See Examples 4 and 5.
- 23 x^15 66. 23 m^9 67. 26 x^30 68. 24 k^20
21 - z 22 21 - q 22 23 x^3 - 23 x^3
- 261 - 526 - 261 - 726 2 x^2 - 2 x^2
261 - 226 261 - 426 251 - 925 251 - 825
2122 2192 21 - 1022 21 - 1322
ƒ 1 x 2 = 23 x- 3 ƒ 1 x 2 = 23 x+ 1
ƒ 1 x 2 = 2 x+ 4 ƒ 1 x 2 = 23 x- 3 ƒ 1 x 2 = 23 x+ 1
ƒ 1 x 2 = 2 x+ 3 ƒ 1 x 2 = 2 x- 5 ƒ 1 x 2 = 2 x- 2
2 na
a 70 a 60 a= 0
- 2 - a