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Square Numbers

Properties of Square Numbers

Before you read this concept, you are adviced to read:

What are Natural Numbers ?
What are Exponents ?

When a Natural Number X can be expressed as Y2 (here Y is also a Natural Number), then the Natural Number X is referred to as Square Number of Natural Number Y

Example : 25 can be expressed as 52
In this example:
25 is a Natural Number X
5 is a Natural Number Y
25 = Y2
Therefore, 25 is referred to as square number of natural number 5

Or we can also say that:
When a natural number is multiplied by itself, the resultant number is known as square of the given natural number
e.g. 9 when multiplied by itself, we get:
9 X 9 = 81
Therefore, 81 is a square of 9

Study the following table

Natural Number Square Number
2 4
3 9
4 16
5 25
6 36

First Column represents Natural Number and Second column represents square numbers of respective Natural Numbers
Natural Numbers 4, 9, 16, 25 and 36 all are examples of square numbers. Also, Square Numbers are known as Perfect Squares