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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.

Keep Reading on Vocabulary.com

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.

See Examples For:

In other words, he was dealing with a country just as bellicose and irrational as he is, and it had him in a funk.

From Salon Jul. 14, 2026

“This shows just how irrational investor expectations are becoming, and that sets a dangerous precedent,” Puckrin said, adding that SK Hynix is vulnerable given how heavily retail investors drive the South Korean stock market.

From MarketWatch Jul. 13, 2026

Greenspan is most well-known for his 1996 speech in which he mused about irrational exuberance in the financial markets.

From Barron's Jun. 26, 2026

The faint, irrational worry that maybe I’m not who I thought I was.

From The Wall Street Journal Jun. 12, 2026

The concept of the irrational was hidden like a time bomb inside Greek mathematics.

From "Zero: The Biography of a Dangerous Idea" by Charles Seife

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