Proof that the Square Root of 2 is irrational

[@rizwanhanda3210]

You made me understand this in the simplest possible way. The animation of this video seems to develop by an expert. Would like see more educational videos like this. Thanks a lot :)

[@endlessduck1642]

I understand it that way: a and b share the factor of 2, so the fraction can be reduced to a fraction c/d where c = a/2 and d = b/2. Applying the same proof for c and d though states that they also share the the factor 2. And continuing like that a and b have to share an infinte amount of the factor 2, which is not possible. Thus sqrt(2) must be irrational.