D defs.my
Entry 3 senses Webster, 1913

irrational

/(ĭr*răsh"ŭn*al)/ · ir·ra·tion·al · IPA /ɪˈɹæʃ.(ə.)nəl/
01 a. Not rational; void of reason or understanding; as, brutes are irrational animals.
  1. 1.
    Not rational; void of reason or understanding; as, brutes are irrational animals.
  2. 2.
    Not according to reason; having no rational basis; clearly contrary to reason; easily disproved by reasoning; absurd; -- of assertions and beliefs.
    “It seemed utterly irrational any longer to maintain it.” I. Taylor.
  3. 3.
    Not capable of being exactly expressed by an integral number, nor by a ratio of integral numbers; surd; -- said especially of roots. See Surd.(Math.) See: Surd