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Intermediate Algebra Skill
Simplifying Radical Expressions: Index 2 or Higher
Simplify. Assume the variables represent positive real numbers.
1)
27
2)
12
3)
8
4)
44
5)
36a 4b
6)
3
8x3 y 2
7)
3
−16x 6
8)
9)
3
x 5 y 6 z10
10)
4
16x 5 y11
5
−32a 7b11
a3b4
11)
4
810x9
12)
13)
5
a 6b12c 7
14)
25 y 3
x4
16)
3
27a 4
8b3
15)
49
y2
17)
3
64 x 7
216 y 6
18)
4
16a 4
b 4 c8
19)
4
a 5b 8
c10
20)
5
32x 6
y11
Answers to Simplifying Radical Expressions: Index 2 or Higher
3
2)
2 3
3)
2 2
4)
2 11
5)
6a 2 b
6)
2x 3 y 2
7)
−2 x 2 3 2
8)
ab2 a
9)
xy 2 z 3 3 x 2 z
10)
2xy 2 4 xy 3
12)
−2ab 2 5 a 2b
1) 3
11) 3x
24
10 x
13)
ab 2c 5 ab 2c 2
14)
7
y
15)
5y y
x2
16)
3a 3 a
2b
17)
2 x2 3 x
3y2
18)
2a
bc 2
19)
ab 2
c2
20)
2x
y2
4
a
c2
5
x
y
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