﻿ Square Root Worksheet | Problems & Solutions

Square Root Worksheet

Square Root Worksheet
• Page 1
1.
Between which two consecutive integers does $\sqrt{155}$ 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.

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.

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.

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

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.

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

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

8.
Which number line represents $\sqrt{49}$?

 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.

9.
Which number line represents $\sqrt{64}$?

 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.

10.
Between which two consecutive integers does $\sqrt{230}$ 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.