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

irrationally

adverb
 
/ɪˈræʃnəli/
 
/ɪˈræʃnəli/
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  1. in a way that is not based on, or does not use, clear logical thought synonym unreasonably
    • to behave irrationally
    opposite rationally
flabbergasted
adjective
 
 
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