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 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 $\sqrt 2$.