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
Square Numbers From 1 to 20
| Number | Square | |
| 1 | 1 2 = 1 x 1 | 1 |
| 2 | 22 = 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.