wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Simplifying, Multiplying, and Dividing Radicals

Total questions: 25

Worksheet time: 2hrs 5mins

Name
Class
Date
1.
a)
A
b)
B
c)
C
d)
D
2.
√5 × √10
a)
50
b)
2√5
c)
5√2
d)
5√10
3.
Simplify the expression:
√30 
a)
√30
b)
3√5
c)
6√5
d)
3√6
4.
Evaluate
√36
a)
6
b)
-9
c)
18
d)
-18
5.

Which of the following is a perfect square?

a)

10

b)

25

c)

50

d)

89

6.

Which of the following in NOT a perfect square?

a)

49

b)

81

c)

111

d)

144

7.

Evaluate.

a)

14

b)

9

c)

98

d)

27

8.

Evaluate.

a)

23

b)

179

c)

3

d)

24

9.

Simplify

a)
b)
c)
d)
e)
10.

Simplify

a)
b)
c)
d)
e)
11.
The number under the radical sign or square root sign  is called the ______.
a)
radical sign
b)
radicand
c)
factor
d)
exponent
12.
Simplify
a)
√5
b)
-3√6
c)
√6
d)
6
13.
Simplify:
√6 ⋅√6
a)
√36
b)
2√3
c)
12
d)
6
14.
√96
a)
4√6
b)
3√6
c)
6√5
d)
6√8
15.
Simplify the following radical: √275
a)
5√5
b)
5√11
c)
11√5
d)
5√55
16.

Simplify:

a)

1/5

b)

20/100

c)

10/2

d)

1/√25

17.
Divide:
a)
√12
b)
(4√3)/3
c)
√3
d)
(2√3)/3
18.
a)
A
b)
B
c)
C
d)
D
19.
a)
A
b)
B
c)
C
d)
D
20.

Fully simplify....

a)
b)
c)
d)
21.

Simplify

53\frac{\sqrt{5}}{\sqrt{3}}  

a)

53\frac{\sqrt{5}}{3}  

b)

153\frac{\sqrt{15}}{3}  

c)

159\frac{\sqrt{15}}{9}  

d)

59\frac{\sqrt{5}}{9}  

e)

None of these

22.

Simplify

812\frac{\sqrt{8}}{\sqrt{12}}  

a)

63\frac{\sqrt{6}}{3}  

b)

36\frac{\sqrt{3}}{6}  

c)

126\frac{\sqrt{12}}{6}  

d)

23\frac{\sqrt{2}}{\sqrt{3}}  

e)

None of these

23.

Simplify

3445\frac{3\sqrt{4}}{4\sqrt{5}}  

a)

3510\frac{3\sqrt{5}}{10}  

b)

355\frac{3\sqrt{5}}{5}  

c)

5310\frac{5\sqrt{3}}{10}  

d)

532\frac{5\sqrt{3}}{2}  

e)

None of these

24.

Simplify

649714\frac{6\sqrt{49}}{7\sqrt{14}}  

a)

3714\frac{3\sqrt{7}}{14}  

b)

142\frac{\sqrt{14}}{2}  

c)

3147\frac{3\sqrt{14}}{7}  

d)

72\frac{\sqrt{7}}{2}  

e)

None of these

25.

Simplify

a)
b)
c)
d)