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  1. Dictionary
    ir·ra·tion·al
    [i(r)ˈraSH(ə)nəl]
    adjective
    irrational (adjective)
    1. not logical or reasonable:
      "irrational feelings of hostility"
      • not endowed with the power of reason.
    2. mathematics
      (of a number, quantity, or expression) not expressible as a ratio of two integers, and having an infinite and nonrecurring expansion when expressed as a decimal. Examples of irrational numbers are the number π and the square root of 2.
    noun
    mathematics
    irrational (noun) · irrationals (plural noun)
    1. an irrational number.
    Origin
    late Middle English: from Latin irrationalis, from in- ‘not’ + rationalis (see rational).
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