Irrational Numbers can not be expressed as fractions whereas rational numbers can be expressed as fractions
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Two of the most important numbers in advanced mathematics are pi and e and both are irrational.
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.
Not necessarily. The sum of two irrational numbers can be rational or irrational.
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.
All irrational numbers are not rational.