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Squares and Square Roots


You know that the area of a square = side x side. Learn the below given table.

Side of a square(cm) area of a square(in cm 2)
1 1 x 1 =1 =12
2 2 x 2 =4 = 22
3 3 x 3= 9 = 32
4 4 x 4 = 16 = 42
5 5 x 5 =25 =52

What is unique about the number 4, 9, 25, and other such numbers?

Since 9 can be represented as 3 x 3= 32 ,

25 can be represented as 5 x 5 = 52 , all such numbers can be expressed as the product of the number with itself.

Such numbers like 4, 9, 25 … are known as a square number.

Therefore, If a natural number m can be expressed as n 2, where n is also a natural number, then m is a square number. There are various ways to find the area of a triangle.

How to Square A Number?

To Square a number = product of the number with itself

How to Square A Number

Square Numbers From 1 to 20

Number Square
1  1 2 = 1 x 1 1
2 2= 2 x 2 2
3 32 =3 x 3 9
4 42 = 4 x 4 16
5 52 = 5 x 5 25
6 62 = 6 x 6 36
7 72 = 7 x 7 49
8 82 = 8 x 8 64
9 92 = 9 x 9 81
10 102 = 10 x 10 100
11 112 = 11 x 11 121
12 122 = 12 x 12 144
13 132 = 13 x 13 169
14 142 = 14 x 14 196
15 152 = 15 x 15 225
16 162 = 16 x 16 256
17 172 = 17 x 17 289
18 182 = 18 x 18 324
19 192 = 19 x 19 361
20 202 = 20 x 20 400

Square of Negative Numbers

You can also calculate square negative numbers. Here are the example given below.

Example: What is the square of (−7) ?

Solution:

(-7)2 =  (−7) × (−7) = 49

Note: When you find square a negative number, then you archive a positive solution.

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