Proof that the cube root of 2 is irrational. This proof has been around for a while, but I originally saw it here: mathoverflow.n... The best thing about this proof is that it doesn’t even work for the square root of 2.
@@tylerbird9301 Fermat gave a (full) proof that the equation x^4 - y^4 = z^2 can never be true (for integers). If you take the special cases where z = k^2 for some k, that implies x^4 = y^4 + k^4 is never true, so he effectively proved FLT for the case n=4. (I don't know if Fermat made _that_ connection himself, though.)
@@tylerbird9301 ok i know it was 9 months ago but fun fact: it was prooven that flt holds true for primes that smaller than 200, or some of them could be even bigger i dont remember exactly
This is the mathematical equivalent of seeing a rat and instinctively and immediately deploying a thermonuclear device to ensure you are safe from the rat.
best plottwist in youtube history :'D german mathematicians have this colloquial of saying "mit kanonen auf spatzen schießen" - roughly meaning: using canons to shoot down a sparrow. that's probably the funniest example I've seen so far of someone using a Kanone to schießen a Spatzen ;D
so wait Fermat still applies when you're adding the same variables together? I always saw it expressed as two different ones so this is very neat to know :)
That two variables have different names doesn't change the fact that they can have the same value. And if you have that special case that two variables have the same value, obviously you can then also use the same letter for both variables.
I am so sad that I have no idea what Fermat's last theorem is but I still found it funny because of the comparisons of the comments and how I completely lost track of the process in a single step. Edit: After watching like 2 minutes of a Numberphile video, I now know what Fermat's last theorem is. I did not expect it to be so simple.
This is that domino that gets bigger meme, but the final domino is smaller than the first one. Fermat doesnt write his proof → Mathematician struggle for centuries → Andrew Wiles proved it → 2^(1/3) is irrational
Not sure if this is correct. FMT says this isn't true for whole numbers. But it says nothing about fractional numbers. So you could find fractional a and b for which this applies