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nonrational

adjective
non·​ra·​tio·​nal | \ ˌnän-ˈrash-nəl How to pronounce nonrational (audio) , -ˈra-shə-nᵊl\

Definition of nonrational

1 : not based on, guided by, or employing reason : not rational : irrational nonrational beliefs nonrational behavior … anthropological history exploring such nonrational aspects of society as mating customs and eating habits.— Gertrude Himmelfarb
2 mathematics : not relating to or being a rational number : irrational nonrational numbers

First Known Use of nonrational

1859, in the meaning defined above

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