Maharashtra State BoardSSC (English Medium) 7th Standard
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Concept of Square Number

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definition

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

notes

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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What are Square Numbers or Perfect Squares? [00:06:41]
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