inexplicable adj.

word-forming element meaning "not, opposite of, without" (also im-, il-, ir- by assimilation of -n- with following consonant, a tendency which began in later Latin), from Latin in- "not," cognate with Greek an-, Old English un-, all from PIE root *ne- "not."

In Old French and Middle English often en-, but most of these forms have not survived in Modern English, and the few that do (enemy, for instance) no longer are felt as negative. The rule of thumb in English has been to use in- with obviously Latin elements, un- with native or nativized ones.

"capable of being made clear or explained," literally "capable of being unfolded," 1550s, from or modeled on Latin explicabilis "capable of being unraveled, that may be explained," from explicare "unfold; explain," from ex "out" (see ex-) + plicare "to fold" (from PIE root *plek- "to plait"). Middle English had a verb expliken "explain, interpret" (mid-15c.). Related: Explicably.