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There are uncountably infinite Irrational Numbers and their existence has been known for over 2500 years. In some cases, although their irrationality was suspected, rigorous mathematical proof took longer. Some notable events:

sqrt(2): Pythagoreans (6th Century BCE).

pi: Johann Heinrich Lambert (18th Century).

e: Leonhard Euler (18th Century).


In the late 19th Century, Georg Cantor proved that the number of irrationals is an order of infinity greater than the number of rationals.

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Q: What is the history of irrational numbers?
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