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Proofs of Irrationality
“Irrational numbers are those real numbers which are not rational numbers!”
Def.1: Rational Number
A rational number is a real number which can be expressed in the form of where
and
are both integers relatively prime to each other and
being non-zero.
Following two statements are equivalent to the definition 1.
1. is rational if and only if
and
are integers relatively prime to each other and
does not equal to zero.
2. .