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Find whether 54 is a square number or not?

Answers (1)

If it is a sum of successive odd natural numbers starting with 1, then it is a perfect square.

So we try to express 54 in successive integers. This can also be done by subtracting successive odd natural numbers from 54.

54 - 1 = 53 ; 53 - 3 = 50 ; 50 - 5 = 45 ; 45 - 7 = 38 ; 38 - 9 = 29 ; 29 - 11 = 18 ; 18 - 13 = 5.

Thus 54 is not a perfect square.

Posted by

Ravindra Pindel

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