In this video, we introduce and prove the "Carpets Theorem" and then utilize the theorem to prove that both the square root of two and the square root of three are irrational by a visual infinite descent argument.
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This animation is based on an argument from Stanley Tennebaum. If you are interested, I recommend this article from John Conway and Joseph Shipman about the irrationality of square root of two (and others):
http://dev.mccme.ru/~merzon/mirror/ma...
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Watch video Irrational Root 2! online without registration, duration hours minute second in high quality. This video was added by user Mathematical Visual Proofs 11 April 2024, don't forget to share it with your friends and acquaintances, it has been viewed on our site 158,899 once and liked it 9.8 thousand people.