Download Math 95 HW 20 Radical Functions Name: Taken from § 7.1 in the

Math 95 HW 20 Radical Functions
Name:
Taken from § 7.1 in the text.
1. What are the square roots of 9?
3. What is the cube root of 8?
5. If bn = a and b > 0, then
√
n
a=
7. Use a rational exponent to write
.
√
3
a4 .
9. Write am/n in radical notation.
In exercises 11 - 33 odd, evaluate the expression by hand. Use complex numbers when
appropriate. Variables represent any real number.
11.
√
9
13.
√
0.36
15.
q
16
25
17.
√
x2 , x > 0
19.
√
3
27
21.
√
3
−64
23.
q
3
8
27
√
3
25. − x9
27.
p
3
(2x)6
29.
√
4
81
31.
√
5
−243
33.
√
4
−16
In exercises 35 - 47 odd, use your calculator to approximate to the nearest hundredth.
√
35. − 5
37.
√
3
5
39.
√
5
−7
41. 161/5
43. 51/3
45. 93/5
47. 4−3/7
In exercises 49 - 67 odd, write each expression in radical notation and simplify the expression
when possible.
49. 91/2
51. 81/3
53.
4
9
1/2
55. (−8)2/3
57.
1 −1/3
8
59. 16−1/4
61. 41/2
−3
63. z 1/4
65. y −2/5
67. (3x)1/3
In exercises 79 - 101 odd, simplify the expression. Assume that all variables are positive.
79. (x2 )3/2
81.
p
3
x3 y 6
2
83.
85.
87.
89.
91.
q
y4
x2
p
p
y3 · 3 y2
6 2/3
x
27
2 −1/2
x
y6
p√
y
93. (a−1/2 )4/3
1
95.
97.
(k /2 )−3
(k2 )1/4
√ √
b· 4b
99. p1/2 (p3/2 + p1/2 )
101.
√
√
√
3
3
x( x − x2 )
In exercises 103 - 115 odd, simplify the expression. Assume that all variables are real numbers.
103.
p
(−4)2
105.
p
y2
3
107.
p
(x − 5)2
109.
√
x2 − 2x + 1
111.
p
4
y4
113.
√
4
x1 2
115.
√
5
x5
4