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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 ar