If you mean by 'used' when were they first discussed then that was probably the Pythagoreans of Greece around the 5th century BC. They didn't use them so much as argue about them!
The first mathematician to use them systematically was Abu Kamil Shuja ibn Aslam of Egypt, around the 9th century. He used them as solutions and coefficients of equations.
For more information please see the wikipedia article about Irrational Numbers.
Irrational numbers can not be expressed as fractions whereas rational numbers can be expressed as fractions
Irrational numbers are used in some scientific jobs. Commonly used irrational numbers are pi, e, and square roots of different numbers. Of course, if an actual numerical result has to be calculated, the irrational number is rounded to some rational (usually decimal) approximation.
Two of the most important numbers in advanced mathematics are pi and e and both are irrational.
Irrational numbers are infinitely dense so it is not possible to list them. Whatever positive irrational number you select, there are infinitely many smaller ones.
They are irrational numbers!
They are numbers that are infinite
No. 4 root 2 and 2 root 2 are both irrational. Divide the first by the second you get 2. Which is not a member of the set of irrational numbers.
An irrational number is a real number that cannot be expressed as a simple fraction, meaning it cannot be written as a ratio of two integers. These numbers have non-repeating, non-terminating decimal representations. Examples of irrational numbers include the square root of 2, pi, and the golden ratio. They are contrasted with rational numbers, which can be expressed as fractions.
Pythogora
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.
properties 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.