√2 Although it wasn't Pythagoras himself who discovered the square root of two and the changes it caused to Ancient Greek mathematics as well as the future of mathematics, his follower did and because of this he is mainly accredited. It is not believed that Pythagoras himself who revealed this mathematically changing idea because it went against his philosophy that all things are numbers. It was in reality a Pythagorean philosopher Hippasus who was able …showed first 75 words of 577 total…

…showed last 75 words of 577 total…even because only even numbers have even squares. 9.<Tab/>By (5) and (8) a and b are both even, which contradicts that a / b is irreducible as stated in (2). The discovery of the square root of two was a frightening thing to the Pythagoreans however we can now thank them for our wonderful math classes today. They gave new idea to the possibilities of numbers and what kind of numbers are out there.