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?
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Anonymous2007-06-05 2:43 ID:LLZRxRjH
You are really fucking slow, man. (btw, I'm a new poster.)
This is basically what happened, with some fun names added:
Alice: Most roots of naturals are irrational. Root 3, 5, 6, 7, etc.
Bob: More specifically, if N is a positive integer and sqrt(N) is not an integer, than sqrt(N) is irrational.
Alice decided to say that "most" roots of natural numbers are irrational, and then gave the example of 3, 5, 6 and 7.
Bob then generalised this statement into one which goes along the lines of: unless N is a square number, sqrt(N) is irrational.