Irrational

Webster's Dictionary of the English Language

·adj Not according to reason; absurd; foolish.

II. Irrational ·adj Not rational; void of reason or understanding; as, brutes are irrational animals.

III. Irrational ·adj Not capable of being exactly expressed by an integral number, or by a vulgar fraction; surd;

— said especially of roots. ·see Surd.