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Old English ascian "ask, call for an answer; make a request," from earlier ahsian, from Proto-Germanic *aiskojan (cf. Old Saxon escon, Old Frisian askia "request, demand, ask," Middle Dutch eiscen, Dutch eisen "to ask, demand," Old High German eiscon "to ask (a question)," German heischen "to ask, demand"), from PIE *ais- "to wish, desire" (cf. Sanskrit icchati "seeks, desires," Armenian aic "investigation," Old Church Slavonic iskati "to seek," Lithuanian ieškau "to seek").
Form in English influenced by a Scandinavian form of the word (cf. Danish æske; the Old English would have evolved by normal sound changes into ash, esh, which was a Midlands and s.w. England dialect form). Modern dialectal ax is as old as Old English acsian and was an accepted literary variant until c.1600. Related: Asked; asking. Old English also had fregnan/frignan which carried more directly the sense of "question, inquire," and is from PIE root *prek-, the common source of words for "ask" in most Indo-European languages (see pray). If you ask me "in my opinion" is attested from 1910. Asking price is attested from 1755.