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Definition of irrational

irrational

/ɪˈræʃ.ən.əl/
ir · ra · tion · al

Adverb:irrationally
•
Plural:irrationals
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irrational Lexical Profile

irrational Game Scores & Validity

• adjective

1

Not logical or reasonable; governed by emotion or impulse rather than clear thought or sound judgment.

Example

"The sudden drop in stock prices was driven by irrational panic among investors rather than economic fundamentals."


2

Incapable of being expressed as a ratio of two integers, and therefore having an infinite, non-repeating decimal expansion (of a real number or mathematical quantity).

Example

"Ancient Greek mathematicians were famously troubled by the discovery that the square root of two is an irrational value."


3

Not endowed with the capacity for reason or logical thought.

Example

"Classical philosophers often drew a sharp distinction between human beings and what they considered irrational beasts."

Synonyms
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Antonyms
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• noun

1

A real number that cannot be expressed as a simple fraction or ratio of two integers.

Example

"In advanced calculus, students learn how the irrationals fill the gaps between rational numbers on the real number line."

• Rhymes for irrational

Word Origin & Etymology

Borrowed in the late 15th century from Latin irrationalis ('without reason'), formed from the privative prefix in- (assimilated to ir-) and rationalis ('belonging to reason'), from ratio ('reckoning, calculation, reason').

Cite this Entry


Wordmom. (2026). Definition of Irrational. In Wordmom Dictionary. Retrieved Nov 5, 2026, from https://wordmom.com/dictionary/irrational
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