Here is a unique proof for the irrationality of the square root of 2. No, not one. In fact two proofs! A proof without words is shown in the title card of the video. Can you tell how it (a picture of a square with three squares inside it) proves that the square root of 2 is not rational? If you follow the verbal proof explained in the video, you would be able to understand the visual proof as well. Try it!
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