Why the Square Root of 2 Is Irrational [Proof By Contradiction and Proof by Contraposition] https://peertube.lagbag.com/videos/watch/1f529c71-889e-4c9c-8c20-9f1c855fe208 Ever wondered if all numbers can be expressed as a fraction? That is to say, does there exist any numbers which are not rational and can be proven so? In this video the square root of 2 will be shown to be irrational and give a great example of proof by contradiction. This proof will also utilize a sub-proof by contraposition making a great introductory video to proof techniques. Correction: I should have assumed gcd(p,q)=1, and then at 8:34 showed that the p and q have a common divisor of 2 which contradicts the assumption. Thu, 04 Jun 2026 22:44:23 GMT https://validator.w3.org/feed/docs/rss2.html PeerTube - https://peertube.lagbag.com Why the Square Root of 2 Is Irrational [Proof By Contradiction and Proof by Contraposition] https://peertube.lagbag.com/client/assets/images/icons/icon-1500x1500.png https://peertube.lagbag.com/videos/watch/1f529c71-889e-4c9c-8c20-9f1c855fe208 All rights reserved, unless otherwise specified in the terms specified at https://peertube.lagbag.com/about and potential licenses granted by each content's rightholder.