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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