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Pythagoras

Name: Anonymous 2007-06-03 14:23 ID:t7dKdTW3

So we all know that to find the length of a hypotenuse you use the formula A squared + B squared = C squared.  What happens, however, if A and B = 1 ?  Did Pythagoras note this problem?  Is 2 the only number with an infinite decimal for a square root?  How do you find the length of the hypotenuse in this situation?  

Name: Anonymous 2007-06-03 19:28 ID:Heaven

>>8
He said: "Most roots of naturals are irrational. Root 3, 5, 6, 7, etc."

I said: "Any integer which has a non-integral square root has an irrational square root."

Note how his statement gives: existence of integers with irrational square roots, and 4 examples. Mine gives: existence of integers with irrational square roots, and a complete classification of said integers. Hence, it is more specific.

If you disagree, you have no idea of what specificity and generality mean in the context of mathematics.

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