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Worksheets

Simplifying Radicals

Total questions: 20

Worksheet time: 40mins

Name
Class
Date
1.
√24
a)
4√6
b)
2√6
c)
6√2
d)
2√12
2.
√28
a)
7√2
b)
7√4
c)
4√7
d)
2√7
3.
√45
a)
3√5
b)
5√3
c)
9√5
d)
5√9
4.
√96
a)
16√6
b)
2√6
c)
4√6
d)
√2
5.
√169
a)
√13
b)
13
6.
Simplify √18
a)
3√2
b)
9√2
c)
3√9
d)
2√3
7.
∛8 =
a)
4
b)
3
c)
2
d)
512
8.

Which is equivalent to ∛54 in simplest form?

a)

3∛6

b)

9∛2

c)

3∛2

d)

3∛3

9.

Simplify completely:

a)

4

b)
c)
d)

cannot be simplified.

10.

Simplify completely:

a)
b)
c)
d)

Cannot be simplified.

11.

Simplify completely:

a)
b)
c)
d)

cannot be simplified

12.

Simplify completely:

a)
b)
c)
d)
13.

Simplify completely:

a)
b)
c)
d)

Cannot be simplified.

14.

Simplify completely:

a)
b)
c)
d)

Cannot be simplified.

15.

Simplify.

a)
b)
c)
d)
16.

Simplify completely:

a)
b)
c)
d)

Cannot be simplified.

17.
Evaluate.
a)
444
b)
222
c)
4
d)
2
18.

Simplify

a)

6/7

b)

4/9

c)
d)

6/9

19.

Which of these is both a perfect square and a perfect cube?

a)

64

b)

125

c)

225

d)

81

20.
Solve for x when x3 = 125
a)
5
b)
10
c)
12
d)
15