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.
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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.
All irrational numbers are not rational.
There are an infinite number of irrational numbers.
All rational and irrational numbers are real numbers.