There are many elegant proofs in mathematics. In general one would prefer an elementary proof to some famous theorem or property, this way most people can understand it with minimal effort.
For me, the following one takes the cake, it's hands down the most elegant "wow" proof I encountered, back when I was an undergraduate student:
![[Image: image.png]](https://i.postimg.cc/8Ck6sBwf/image.png)
![[Image: image.png]](https://i.postimg.cc/FHpftkmr/image.png)
The proof is non-constructive. In other words, we don't really know what the two irrational numbers are (not without using the heavy machinery of modern math, at least) , and yet we know that the assertion is true!
And you? what's your favorite proof?
For me, the following one takes the cake, it's hands down the most elegant "wow" proof I encountered, back when I was an undergraduate student:
The proof is non-constructive. In other words, we don't really know what the two irrational numbers are (not without using the heavy machinery of modern math, at least) , and yet we know that the assertion is true!
And you? what's your favorite proof?
