Irrational Numbers have been known since very early times. For example, it was recognised that the length of the diagonal of a unit square was not a rational number.
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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.
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There are an infinite number of irrational numbers.
All irrational numbers are not rational.