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 Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2019

Examples from the Web for irrational

Contemporary Examples of irrational

Historical Examples of irrational

  • I haven't been irrational, I give you my word, not once since I came here.

    The Spenders

    Harry Leon Wilson

  • This reply seemed to arouse an irrational anger in the Briton.

  • If men cannot have a rational belief, they will have an irrational.



  • Pride was irrational, and so was the greater part of human misery.

    Mezzerow Loves Company

    Floyd L. Wallace

  • In spite of his fine manner and bearing, his every word had been irrational.

British Dictionary definitions for irrational



inconsistent with reason or logic; illogical; absurd
incapable of reasoning
  1. not rational
  2. (as noun)an irrational
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 irrational

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

irrational in Medicine




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.