Meaning of “might I ask/inquire/know” in the English Dictionary

british dictionary

"might I ask/inquire/know" in British English

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might I ask/inquire/know

formal

used in questions to show disapproval by being more polite than is expected:

And what are you doing in there, might I ask?

(Definition of “might I ask/inquire/know” from the Cambridge Advanced Learner’s Dictionary & Thesaurus © Cambridge University Press)