Download 16 - 25 ± 4 1 04 .0 81 yx 1 + x 25 10 + + xx 5 3 8

Honors Algebra II
Worksheet – 6.1, 6.2
Name ____________________________________________
List all the numbers that are perfect squares up to and including 144: ____________________________________________
List all the variables that are perfect squares up to and including x12 _____________________________________________
Simplify each radical. Use absolute value bars as needed.
1.
9
2.
81
3.  16
6.
9
49
7.
0.04
8.
x100
11.
64x 2
12.
x2
81x 2 y 2
13.
4.  25
1
4
5.
9.
x4
10.
x6
14.
x  12
15.
x 2  10 x  25
72
20. 6 2
Use a calculator to determine each value. Round all answers to the nearest 100th
420
16.
45
17.
18. 3 5
19.
List all the numbers that are perfect cubes up to and including 216: ____________________________________________
List all the variables that are perfect cubes up to and including x12 _____________________________________________
Simplify each radical. Use absolute value bars as needed.
21.
26.
3
3
27
22.
3
8
23.
3
64
24.
x6
27.
3
64x 3
28.
3
125 x 3 y 6
29.
3
3
1
25.
3
x3
n  13
30.
3

1
64
List all the numbers that are perfect fourths up to and including 256: ____________________________________________
List all the variables that are perfect fourths up to and including x12 _____________________________________________
Simplify each radical. Use absolute value bars as needed.
31.
4
81
32.
4
7b 4
33.
4
1
16
34.
4
x8
35.
5
102
40.
4
x 32
Use a calculator to determine each value. Round all answers to the nearest 100th
36.
3
25
37.
3
 12
38.
4
67
41. How do you know when you are supposed to use absolute value bars?
39.
6
57
Find these roots. Use absolute value bars where necessary.
42.
47.
3
4 x 2  28 x  49
43.
3
y
x6
48.
6
1
64
52. True or false…
9  16 
 2 3
44.
4
256
45.
49.
9
x 9 y 18 z 27
50.
5
5
 32
46.
6
x12
x 10
51.
3
x 36
9  16 Why or why not?
53. For what type of roots (square root, cube root, etc) is it allowed to take a root of a negative number? For what roots is it not
allowed?
Find the real roots of each equation. If there are no real roots, say none.
54. x 2  16  0
55. x 2  16  0
56. x 2  144
57. x 2   9
58. 16 y 2  25
61. 81  9 x 2  0
59. 4  16 x 2  0
60. 0  4  16 x 2