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So you test it with sides = 1. Result: hypotenuse is some number n where n*n = 2. So far so good. How does this lead you to the obvious conclusion that n is ir
by wat10000 2y ago
So you test it with sides = 1. Result: hypotenuse is some number n where n*n = 2.
So far so good. How does this lead you to the obvious conclusion that n is irrational?
(I’m familiar with the standard proof that it is, but that’s not something that just naturally falls out of this.)
- dr_dshiv 2y agoBecause you can’t make it with a fraction.
- DoctorOetker 2y agoAh yes, thanks for reminding us that the Pythagoras proved the square root of 2 was irrational by ... circular reasoning. /s
- wat10000 2y agoStating the definition of irrationality is not a proof. What do you see as the obvious thing that goes from n*n = 2 to “you can’t make n with a fraction”?