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Definition of irrational:

  1. Not according to reason; absurd; foolish.
  2. Not capable of being exactly expressed by an integral number, or by a vulgar fraction; surd; - said especially of roots. See Surd.
  3. Not rational; void of reason or understanding; as, brutes are irrational animals.

Synonyms:

irrational number, inconsequent, ill-judged, unreasoning, inconclusive, unsound, ill-advised, unreasonable, blind, jaundiced, wrong, yellow, mistaken, reason, monstrous, weak, false, erroneous, inconsequential, reasonless, superstitious, incorrect, incoherent, out of bounds, wild, unreasoned, childish, extreme, irresponsible, illegitimate, specious, perverse, nonrational, untenable, chimerical, ill-considered, infatuated, anomalous.

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