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One way is to get the prime factorization of the number. If every prime occurs an even number of times, it is a square, otherwise, not.
Another is to estimate the square root of the number, and square it. If you get more than the number, try a lower estimate; if less, a higher one. Using interval bisection you very quickly zero in on the square root, if it is a whole number. If so, the number is a perfect square. Otherwise, you find 2 consecutive whole numbers between which is the square root, in which case it is not a perfect square.
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How can I tell whether a number is a square number?
You can tell whether a number is a square number by looking at the last digit. A perfect square number ends with either 1, 4, 5, 6, 9 or 00.
Can a perfect number be odd?
If by 'perfect number' you mean 'perfect SQUARE', then yes. 49 is an odd number and a perfect square.
How do you determine that 72 is not a square number?
You take the square root of the number. If it is a perfect square, this will be a whole number. If it is not, it isn't a perfect square.
How can you tell if a trinomial is a perfect square?
A trinomial is perfect square if it can be factored into the form
Is the number 125 a square number?
Well, technically, it is the square of 11.18033989...but it is not a perfect square(a perfect square is the square of a whole number. 1,4,9,16,25,36,49,64,81,100,121,144,169,196,225,256, etc.)
