See more synonyms for irrational on
  1. without the faculty of reason; deprived of reason.
  2. without or deprived of normal mental clarity or sound judgment.
  3. not in accordance with reason; utterly illogical: irrational arguments.
  4. not endowed with the faculty of reason: irrational animals.
  5. Mathematics.
    1. (of a number) not capable of being expressed exactly as a ratio of two integers.
    2. (of a function) not capable of being expressed exactly as a ratio of two polynomials.
  6. Algebra. (of an equation) having an unknown under a radical sign or, alternately, with a fractional exponent.
  7. Greek and Latin Prosody.
    1. of or relating to a substitution in the normal metrical pattern, especially a long syllable for a short one.
    2. noting a foot or meter containing such a substitution.
  1. Mathematics. irrational number.

Origin of irrational

First recorded in 1425–75; late Middle English word from Latin word irratiōnālis. See ir-2, rational
Related formsir·ra·tion·al·ly, adverbir·ra·tion·al·ness, nounnon·ir·ra·tion·al, adjective, nounnon·ir·ra·tion·al·ly, adverbnon·ir·ra·tion·al·ness, noun

Synonyms for irrational

See more synonyms for on Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018

Related Words for irrationally

stupidly, unreasonably

Examples from the Web for irrationally

Contemporary Examples of irrationally

Historical Examples of irrationally

British Dictionary definitions for irrationally


  1. inconsistent with reason or logic; illogical; absurd
  2. incapable of reasoning
  3. maths
    1. not rational
    2. (as noun)an irrational
  4. prosody (in Greek or Latin verse)
    1. of or relating to a metrical irregularity, usually the occurrence of a long syllable instead of a short one
    2. denoting a metrical foot where such an irregularity occurs
Derived Formsirrationally, adverbirrationalness, noun
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

Word Origin and History for irrationally



late 15c., "not endowed with reason" (of beats, etc.); earlier (of quantities) "inexpressible in ordinary numbers" (late 14c.); from Latin irrationalis "without reason," from assimilated form of in- "not, opposite of" (see in- (1)) + rationalis "reason" (see rational). Meaning "illogical, absurd" is attested from 1640s. Related: Irrationally.

Online Etymology Dictionary, © 2010 Douglas Harper

irrationally in Medicine


  1. Not rational; marked by a lack of accord with reason or sound judgment.
The American Heritage® Stedman's Medical Dictionary Copyright © 2002, 2001, 1995 by Houghton Mifflin Company. Published by Houghton Mifflin Company.