Square Root Worksheet for Class 8 with Answers

Square Root Worksheet – Class 8

Name: ______________________
Class: _______ Date: ___________

A. Find the square root of perfect squares.

√16 = ______
√25 = ______
√36 = ______
√49 = ______
√64 = ______
√81 = ______
√100 = ______
√121 = ______
√144 = ______
√169 = ______

B. Find the square root (by prime factorization).

√196 = ______
√225 = ______
√256 = ______
√289 = ______
√324 = ______
√400 = ______
√484 = ______
√529 = ______
√576 = ______
√625 = ______

C. Fill in the blanks.

√1 = ______
√400 = ______
√81 = ______
√144 = ______
√121 = ______
√49 = ______
√64 = ______
√100 = ______
√169 = ______
√225 = ______

D. True or False.

√36 = 5 ______
√64 = 8 ______
√81 = 9 ______
√100 = 11 ______
√121 = 10 ______
√144 = 12 ______
√49 = 7 ______
√25 = 6 ______
√16 = 4 ______
√196 = 14 ______

E. Word Problems.

A square garden has an area of 144 m². Find the length of one side.
A square tile has area 225 cm². Find its side length.
A square field has area 400 m². Find one side.
A square board has area 625 cm². Find its side.
A square park has area 196 m². Find the side length.
A square mat has area 256 cm². Find one side.
A square table has area 81 m². Find its side.
A square sheet has area 324 cm². Find its side.
A square floor has area 100 m². Find its side.
A square plot has area 169 m². Find its side.

F. Challenge Section

√784 = ______
√900 = ______
√1024 = ______
√1156 = ______
√1296 = ______
√1444 = ______
√1600 = ______
√1764 = ______
√1936 = ______
√2025 = ______

Answer Key

A

4
5
6
7
8
9
10
11
12
13

B

14
15
16
17
18
20
22
23
24
25

C

1
20
9
12
11
7
8
10
13
15

D

False
True
True
False
False
True
True
False
True
True

E

12 m
15 cm
20 m
25 cm
14 m
16 cm
9 m
18 cm
10 m
13 m

F

28
30
32
34
36
38
40
42
44
45