Approve
Middle English: from Old French aprover, from Latin approbare (see approbate). The original sense was ‘prove, demonstrate’, later ‘corroborate, confirm’, hence ‘pronounce to be satisfactory’ (late Middle English).
wiktionary
From Middle English aproven, appreoven, appreven, apreven, borrowed from Old French aprover, approver, approuvir, appreuver(“to approve”), from Latin approbō, from ad + probō(“to esteem as good, approve, prove”). Doublet of approbate. Compare prove.
From Middle English approuen, approven, from Old French aprouer; a- + a form apparently derived from the pro, prod, in Latin prōsum(“be useful or profitable”). Compare with improve.
etymonline
approve (v.)
c. 1300, apreven, approven, "to demonstrate, prove," from Old French aprover (Modern French approuver) "approve, agree to," from Latin approbare "to assent to as good, regard as good," from ad "to" (see ad-) + probare "to try, test something (to find if it is good)," from probus "honest, genuine" (see prove).
The meaning was extended late 14c. to "regard or assent to (something) as good or superior; commend; sanction, endorse, confirm formally," especially in reference to the actions of authorities, parliaments, etc. Related: Approved; approving.
