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You don’t need to know the digits of a number to prove that it’s irrational. You just need to demonstrate that it can’t be expressed as the ratio of two integer
by xigoi 2y ago
You don’t need to know the digits of a number to prove that it’s irrational. You just need to demonstrate that it can’t be expressed as the ratio of two integers.
- IngoBlechschmid 2y agoIndeed! For instance, Wikipedia presents a couple of proofs of the irrationality of √2 (including a geometric one). None of these require knowledge of its digits. https://en.wikipedia.org/wiki/Square_root_of_2 https://en.wikipedia.org/wiki/Square_root_of_2
- pfdietz 2y agoI think the person you were responding to doesn't understand proof by contradiction.