In this short, we use a similar triangle argument to prove that the square root of two is irrational by infinite descent.

If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualPr.... Thanks!

For an alternate visual proof of this fact, see this video:    • Visual irrationality proofs from the ...  

#irrationalnumbers #realnumbers​ #manim​ #math​ #mtbos​ ​ #animation​ #theorem​​ #visualproof​ #proof​ #iteachmath #mathematics #irrational #carpetstheorem #proofbycontradiction #root2 #algebra #infinitedescent

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...

To learn more about animating with manim, check out:
https://manim.community