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Square Root Worksheet

Square Root Worksheet
  • Page 1
 1.  
Between which two consecutive integers does 155 fall?
a.
10 and 11
b.
11 and 12
c.
13 and 14
d.
12 and 13


Solution:

The greatest perfect square less than 155 is 144 = 122.

The least perfect square greater than 155 is 169 = 132.

155 falls between the two consecutive integers , 12 and 13.


Correct answer : (4)
 2.  
Find the square root of 16.
a.
8
b.
256
c.
64
d.
4


Solution:

16
[Represent the square root using the radical symbol.]

= 42
[42 = 16.]

= 4

So, the square root of 16 is 4.


Correct answer : (4)
 3.  
Find the square root of 121.
a.
14,641
b.
11
c.
21
d.
242


Solution:

121
[Represent the square root using the radical symbol.]

= 112
[112 = 121.]

= 11

So, the square root of 121 is 11.


Correct answer : (2)
 4.  
Find the square root of 324.
a.
16
b.
17
c.
14
d.
18


Solution:

324 can be written as 18 × 18.

324 = 182

Square root of 324 = 18

324 = 18


Correct answer : (4)
 5.  
Find the square of 14.
a.
56
b.
196
c.
156
d.
28


Solution:

Square of a number is that number times itself.

Square of 14 is 14 × 14 = 196.

Therefore, square of 14 is 196.


Correct answer : (2)
 6.  
Find the square root of 784.
a.
28
b.
13
c.
18
d.
22


Solution:

784 can be written as 28 × 28.

784 = 282

Square root of 784 = 28

784 = 28


Correct answer : (1)
 7.  
Find the square root of 225.
a.
25
b.
15
c.
18
d.
35


Solution:

225 can be written as 15 × 15.

225 = 152

Square root of 225 = 15

225 = 15


Correct answer : (2)
 8.  
Which number line represents 49?

a.
Figure 3
b.
Figure 2
c.
Figure 1
d.
Figure 4


Solution:

49 = 7
[72 = 49]

As 7 is a positive number, it will be 7 units to the right of 0 on the number line.
[Negative numbers will be to the left of 0 and positive numbers will be to the right of 0 on the number line.]


So, 7 is represented on the number line as shown.


Correct answer : (3)
 9.  
Which number line represents 64?



a.
Figure 1
b.
Figure 3
c.
Figure 4
d.
Figure 2


Solution:

64 = 8
[82 = 64]

As 8 is a positive number, it will be 8 units to the right of 0 on the number line.
[Negative numbers will be to the left of 0 and positive numbers will be to the right of 0 on the number line.]


So, 8 is represented on the number line as shown.


Correct answer : (1)
 10.  
Between which two consecutive integers does 230 lie?
a.
17 and 18
b.
16 and 17
c.
14 and 15
d.
15 and 16


Solution:

The greatest perfect square which is less than 230 is 225 = 152.

The least perfect square which is greater than 230 is 256 = 162.

230 lies between 15 and 16.


Correct answer : (4)

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