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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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What is history of irrational numbers?
The history of irrational numbers is quite simple in that any number that can't be expressed as a fraction is an irrational number as for example the value of pi as used in the square area of a circle.
Are rational numbers is an irrational numbers?
yes * * * * * No. Rational and irrational numbers are two DISJOINT subsets of the real numbers. That is, no rational number is irrational and no irrational is rational.
If you add two irrational numbers do you get an irrational number?
Not necessarily. The sum of two irrational numbers can be rational or irrational.
Are there irrational numbers that are not rational?
All irrational numbers are not rational.
How many irrational numbers are there?
There are an infinite number of irrational numbers.
