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irrational adjective [ ɪˈraʃ(ə)n(ə)l ]

• not logical or reasonable.
• "irrational feelings of hostility"
Similar: unreasonable, illogical, groundless, baseless, unfounded, unjustifiable, unsound, absurd, ridiculous, ludicrous, silly, foolish, senseless, nonsensical, laughable, idiotic, stupid, wild, untenable, implausible, unscientific, arbitrary, crazy, mad, barmy, daft, backasswards,
Opposite: rational, logical,
• (of a number, quantity, or expression) not expressible as a ratio of two integers, and having an infinite and non-recurring expansion when expressed as a decimal. Examples of irrational numbers are the number π and the square root of 2.

irrational noun

• an irrational number or quantity; a surd.
Origin: late Middle English: from Latin irrationalis, from in- ‘not’ + rationalis (see rational).


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