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Wed 12 Jan, 2005 11:51 am
the square of 2 is 4 and the square of 3 is 9. if we take these two numbers (4 and 9) and put them this way : 49, we find out that 49 is the square of 7. is this casual? in other words, the trait that was shown here was casual...square of 1 is 1 and square of 2 is 4 but if we do what we did before we will get that 14 doesn't have an integer root. however, there may be another trait for the couple of numbers 4 and 9, what makes it not casual.
49 just happens to be the only 2-digit square such that each digit is a square itself.
Here's a 3-digit example:
4^2 = 16
3^2 = 9
169 = 13^2
yeah that's right, but is there a proof that shows it isn't casual?
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