# Concept of Square Number

#### definition

Square numbers: A number which produces a specified number when multiplied by itself are known as square numbers.

# Square numbers:

A number which produces a specified number when multiplied by itself are known as square numbers.
25 can be expressed as 5 × 5 = 52, 64 can be expressed as 8 × 8 = 82, all such numbers can be expressed as the product of the number with itself.

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

We know that 72 = 49 and 82 = 64. If 62 is a square number, it must be the square of a natural number between 7 and 8. But there is no natural number between 7 and 8. Therefore, 62 is not a square number.

 Number Square Number Square 1 1 16 256 2 4 17 289 3 9 18 324 4 16 19 361 5 25 20 400 6 36 21 441 7 49 22 484 8 64 23 529 9 81 24 576 10 100 25 625 11 121 26 676 12 144 27 729 13 169 28 784 14 196 29 841 15 225 30 900
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