'accidentally-approved' is a compound word formed from 'accidentally' and 'approved'. 'Accidentally' originates from Latin, specifically the word 'accidentalis', where 'accidens' meant 'happening'. 'Approved' comes from Latin 'approbare', where 'ad-' meant 'to' and 'probare' meant 'test or prove'.

'accidentally' changed from the Latin word 'accidentalis' and 'approved' from 'approbare', eventually forming the modern English compound 'accidentally-approved'.

Initially, 'accidentally' meant 'by chance', and 'approved' meant 'to confirm or sanction'. Together, they evolved to mean 'approved by chance'.