Square Root of 2 is Irrational/Historical Note

Historical Note
This result is attributed to, or to a student of his.

Some legends have it that it is due to who was thrown off a boat by his angry fellow Pythagoreans and drowned.

The ancient Greeks prior to Pythagoras, following, believed that irrational numbers did not exist in the real world.

However, from the Pythagorean Theorem, a square with sides of length $1$ has a diagonal of length $\sqrt 2$.