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  1. Dictionary
    Ir·ra·tion·al
    /i(r)ˈraSH(ə)nəl/

    adjective

    • 1. not logical or reasonable: "irrational feelings of hostility"
    • 2. (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

    • 1. an irrational number.