In this short, we use a similar triangle argument to prove that the square root of two is irrational by infinite descent.
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For an alternate visual proof of this fact, see this video: • Visual irrationality proofs from the ...
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This animation is based on an argument due to Tom Apostol from issue 9 of the 2000 American Mathematical Monthly: https://doi.org/10.1080/00029890.2000...
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