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 irrational \ir*ra"tion*al\ ([i^]r*r[a^]sh"[u^]n*al), a. [L.
   irrationalis: cf. F. irrationnel. See {In-} not, and
   {Rational}.]
   [1913 Webster]
   1. Not rational; void of reason or understanding; as, brutes
      are irrational animals.
      [1913 Webster]

   2. Not according to reason; having no rational basis; clearly
      contrary to reason; easily disproved by reasoning; absurd;
      -- of assertions and beliefs. Hence, of actions: foolish;
      unreasonable.
      [1913 Webster +PJC]

            It seemed utterly irrational any longer to maintain
            it.                                   --I. Taylor.
      [1913 Webster]

   3. (Math.) Not capable of being exactly expressed by an
      integral number, nor by a ratio of integral numbers; surd;
      -- said especially of roots. See {Surd}.

   Syn: Absurd; foolish; preposterous; unreasonable; senseless.
        See {Absurd}.
        [1913 Webster]