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Worksheets

Square Roots and Cube Roots

Total questions: 15

Worksheet time: 5mins

Name
Class
Date
1.

 92=189^2=18  True or false?

a)

True

b)

False

2.

 144-\sqrt{144}  

a)

12

b)

-12

c)

-72

d)

none of the above (imaginary number) 

3.

 383_{\sqrt{8}}    (cube root of 8) 

a)

2

b)

 ±2\pm2  

c)

-2

d)

None of the above 

4.

The area of a square painting is 81  cm2cm^2  . What is the length of one side?

a)

9

b)

-9

c)

40.5

d)

-40.5

5.

 (1681)  = ?\sqrt{\left(\frac{16}{81}\right)}\ \ =\ ?  

a)

 827\frac{8}{27}  

b)

 89\frac{8}{9}  

c)

 49\frac{4}{9}  

d)

 43\frac{4}{3}  

6.

Select the set with all perfect squares.

a)

-144, 9, 50, 75, 81, 100

b)

9, 50, 81, 100

c)

9, 50, 75, 81, 100

d)

9, 81, 100

7.

Arihaan, Viraav, and Arathana are solving math problems to win a race. They need to determine the approximate value of   47\sqrt{47} . Viraav insists the value is closer to 7, while Arathana is sure it is closer to 8. Arihaan thinks the value is closer to 6. Who do you agree with?

a)

Arihaan

b)

Viraav

c)

Arathana

d)

None of them

8.
132
a)
26
b)
196
c)
144
d)
169
9.
Is 225 a perfect square?
a)
Yes
b)
No
10.

 31=^3\sqrt{1}=  

a)

1

b)

-1

c)

±1

d)

none

11.

The number 1,000 is a...

a)

perfect square

b)

perfect cube

12.

 31000343=^3\sqrt{\frac{1000}{343}}=  

a)

100/7

b)

10/7

c)

10/49

d)

100/49

13.
What is a square?
a)
Something you multiply by the 3rd power
b)
A shape
c)
A number you multiply by itself
14.
Solve.
√9  ×  √100
a)
30
b)
-200
c)
900
d)
90
15.

Select all perfect cubes

a)

2

b)

8

c)

27

d)

64

e)

9