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irrational

American  
[ih-rash-uh-nl, -rash-nl] / ɪˈræʃ ə nl, -ˈræʃ nl /

adjective

  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.

    Synonyms:
    insensate, ridiculous, unreasonable
  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.


noun

  1. Mathematics. irrational number.

irrational British  
/ ɪˈræʃənəl /

adjective

  1. inconsistent with reason or logic; illogical; absurd

  2. incapable of reasoning

  3. maths

    1. not rational

    2. ( as noun )

      an irrational

  4. prosody

    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

"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

Other Word Forms

Etymology

Origin of irrational

First recorded in 1425–75; late Middle English, from Latin irratiōnālis; see ir- 2 ( def. ), rational ( def. )

Explanation

If you're a straight-A student and still you worry about failing all of your classes, you're being irrational. Your fears are not based on fact and not likely to come true. Usually you use irrational to describe ideas and thoughts that are not based on reason, although emotions and behavior can be irrational too if they don't seem reasonable. Do you jump onto a chair and scream when you see a mouse? If so, you have an irrational fear of mice, or musophobia. If someone takes a swing at you for failing to say excuse me when you burp, both their anger and their actions could be called irrational.

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Vocabulary lists containing irrational

Example Sentences

Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.

During periods of irrational exuberance, stock prices tend to rise more quickly than Wall Street’s earnings estimates.

From MarketWatch • May 26, 2026

Like to me, acting is an irrational act.

From Los Angeles Times • May 26, 2026

Macgregor had never known her old friend to be irrational.

From The Wall Street Journal • May 23, 2026

“The current ‘flash-sale wars’ are typical competition under demand-side economies of scale but have escalated into irrational capital burn,” said Chen Tianhao, an associate professor at Tsinghua University.

From Barron's • May 23, 2026

Schopenhauer’s theories, like Wagner’s operas, could not be described as succinct, and they are consequently hard to summarise briefly, but the idea that caught Wagner’s imagination was that we humans are essentially irrational, emotional animals.

From "The Story of Music" by Howard Goodall

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