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Worksheets

ROOTS AND RADICAL EXPRESSIONS

Total questions: 15

Worksheet time: 56mins

Name
Class
Date
1.

2x2y3\sqrt[]{2x^2y^3}  

a)

2y xy\sqrt[]{xy}  

b)

y 2xy\sqrt[]{2xy}  

c)

2x y2\sqrt[]{y^2}  

d)

xy 2y\sqrt[]{2y}  

2.

Simplify. Use absolute value bars only if necessary.

a)

5|x3|

b)

125x3

c)

5x3

d)

25x3

3.

Simplify. Use absolute value bars if necessary

a)

2xy2

b)

2|x|y2

c)

4xy2

d)

2|xy|

4.

Simplify. Use absolute value symbols when necessary.

a)

9y2

b)

3y2

c)

3y3

d)

3y

5.

Simplify. Use absolute value bars where necessary.

a)

|x5|y7

b)

|x5y7|

c)

x5y7

d)

x5|y7|

6.
a)
y2z10√xy
b)
20yz√xy
c)
xy2z10√y
d)
yz6√xy2z2
7.

Simplify:

√90

a)

9√10

b)

3√10

c)

10√3

d)

10√9

8.

Simplify the above radical.

a)
b)
c)
d)
9.
Simplify the following radical: √32
a)
3√2
b)
4√8
c)
16√2
d)
4√2
10.
√72
a)
7√9
b)
4√6
c)
6√2
d)
3√4
11.
Simplify the following radical: √300
a)
3√10
b)
2√150
c)
100√3
d)
10√3
12.
The square root of 64x8yis ?
a)
32x4y3
b)
8xy
c)
8x4y3
d)
16
13.
Simplify:
a)
8x9
b)
8x3
c)
8x4√x
d)
8x3√x
14.

Simplify the above radical.

a)
b)
c)
d)
15.

Simplify completely.

a)

8√3xy

b)

y√24xy

c)

8y√3xy

d)

8√24x