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Probably the ancient Egyptians who discovered that the diagonal of a unit square was not a rational number. And then discovered other such numbers.
All rational numbers are real 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.
All prime numbers are rational.
The sum of two rational numbers is rational.From there, it follows that the sum of a finite set of rational numbers is also rational.