Irrational
Definition, Meaning & Examples
Pronunciation /ɪˈɹæʃ.(ə.)nəl/ · Part of speech adjective
Quick meaning: Irrational is an adjective meaning Not rational; unfounded, nonsensical or wrong-headed.
Meaning
Not rational; unfounded, nonsensical or wrong-headed.
More Meanings
- (mathematics, arithmetic, number theory, not comparable) Of a real number, that cannot be written as the ratio of two integers.
- (mathematics) A real number that can not be expressed as the quotient of two integers, an irrational number.
Example Sentences
an irrational decision
The number π is irrational.
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.
Word Forms
- irrationals
Synonyms for irrational
Depending on context, synonyms include jaundiced, unreasonable, blind, reasonless, unreasoning, nonrational.
Antonyms for irrational
Common opposites include rational.
Related Words
Related dictionary entries include unreasonable, unreasoning, reasonless, nonrational, blind, superstitious.
Related Dictionary Tools
Sources & Attribution
FreeDictionaryAPI.com / Wiktionary · Original source · CC BY-SA 4.0
Dictionary data is provided by FreeDictionaryAPI.com and sourced from Wiktionary under its stated license.