'approvedness' is formed in modern English from the past-participle adjective 'approved' plus the nominalizing suffix '-ness' (from Old English '-ness'), meaning the quality or state of being approved.

'approved' comes from Middle English 'approven'/'approved', borrowed from Old French 'aprover' (Modern French 'approuver'), which in turn derives from Latin 'approbare' ('ad-' + 'probare'). The suffix '-ness' goes back to Old English '-nes(s)' used to form abstract nouns; these elements combined in Modern English to form 'approvedness'.

Originally, the root 'approbare' meant 'to test, prove, or assent to,' and over time the sense narrowed to 'to give formal consent or sanction'; 'approvedness' now denotes the state or quality of having been approved.