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Introduction

Squares :-

Let us discuss what a square number is.

Consider a floor. We are going to place the tiles in the floor in such a way that number of tiles in both vertical and horizontal sides is equal.
 



 Number of tiles placed = 1 ´ 1 = 1
 



Number of tiles placed = 2 ´ 2 = 4
 



Number of tiles placed = 3 ´ 3 = 9

 


Number of tiles placed = 4 ´ 4 = 16


If we proceed in this manner we get,

5 ´ 5 = 25, 6 ´ 6 = 36, 7 ´ 7 = 49….

The numbers 4, 9, 16, 25, 36, 49…… are called square numbers.

Square Number: A number that is the product of two equal numbers.

The numbers 1, 4, 9, 16 …. are known as square numbers. They are also called as perfect square numbers.

Consider the number 65.
 

Example

Can we write it as a product of two equal numbers?

Solution

It can’t be written as a product of two equal numbers.

So, it is not a perfect square number.





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