Definition of irrationally adverb from the Oxford Advanced Learner's Dictionary

 

irrationally

 adverb
adverb
BrE BrE//ɪˈræʃnəli//
 
; NAmE NAmE//ɪˈræʃnəli//
 
 
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in a way that is not based on, or does not use, clear logical thought synonym unreasonably to behave irrationally opposite rationally