Not rational; unfounded, nonsensical or wrong-headed.
an irrational decision
Of a real number, that cannot be written as the ratio of two integers.
The number π is irrational.
A real number that can not be expressed as the quotient of two integers, an irrational number.
The square root of 2, which was the first irrational to be discovered, was known to the early Pythagoreans, and ingenious methods of approximating to its value were discovered.
From Latin irratiōnālis, from ir- + ratiōnālis.
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