irrational is an Adverb
[1] Not rational; void of reason or understanding; as, brutes are irrational animals.
[2] Not according to reason; absurd; foolish. It seemed utterly irrational any longer to maintain it. I. Taylor.
[3] Not capable of being exactly expressed by an integral number, or by a vulgar fraction; surd; -- said especially of roots. See Surd.
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