Square and Square roots- Class 8 Maths

If we will closely observe the numbers like 4, 9, 25, 64, 81, etc we will observe a fact which is these numbers can be rewritten as-

4=2*2

9=3*3

25=5*5

64=8*8

So, these numbers can be easily expressed as the product of the number itself and these types of numbers are also known as square numbers.

If a natural number m can be expressed as n² where n is also a natural number, then m is a square number.

How to find whether the number is a square number?

Let us consider a number 32

We know that 5²=25 and 6²=36. If 32 is a square number, it must the square of a natural number between 5 and 6 and as we know that there is no natural number between 5 and 6. So, 32 is not a square number.

Number	Square
1	1
2	4
3	9
4	16
5	25
6	36
7	49
8	64
9	81
10	100

The numbers 1, 4,9,16 are square numbers and these are also called perfect squares.

Read full solution click here Square and Square roots- Class 8 Maths

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