Simplifying Radical Expressions Worksheet Page 3
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1
2
3
4Can you solve square root equations by hand?
48. 3
x
1 5
49.
x
2 5 1
3
50.
x
2 5 1
51.
4
x
2
x
52.
x
x
5 1
Can you solve applications involving square roots?
53. A ladder is placed against a house so that the top of the ladder is 12 feet above the ground and it’s
base is 5 feet from the house. How long is the ladder?
54. A man standing 8 feet from the bottom of a 15 foot vertical pole is how many feet from the top of
the pole?
Can you find the domain of functions involving radicals algebraically and check using a graphing
utility?
55. f x
x
56. f x
x
f x
4 3
x
57.
3
24
58.
f x
4 3
x
59.
f x
4
x
3
60.
f x
x
1
Answers/some solutions:
1
1
1
3
3
15.
3
24.
125
5
5
1. 20
6
a
2. not a real number
2
25.
8x
1
1
1
3.
7
1
2
2
8
2
8
2
8
4
y
4
y
2
y
8
8
4
9y
4. 4
16.
26.
2
1
1
1
x
5.
3
2
y
2
y
4
2
y
4
4
4
3
6.
2
27.
7. 7
5 x
1
17.
8. 2 x
1
6
2
28.
4
9.
3z
12
11
1
a
18.
5
a
32
2
5
4
29.
3zx
z
10.
8
b
19. 4
4 6
30.
2
r s
3
r
20. 8
7
31. 5
11.
125
4
21.
9
y
15
x
27
3
32.
12.
9
2
5
22.
4
3
2
2
x x
7
1
2
2 3
13.
y
y y
y
y
3
3
33.
1
3
3
y
23.
13
6
1
7
6
14.
a
a a
a a
7
7
6
a
34. 5
Revised 11 / 08
3
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