'erroneously' originates from Latin, specifically the word 'erroneus,' where 'errare' meant 'to wander or stray.' 'Approved' comes from Latin 'approbare,' where 'ad-' meant 'to' and 'probare' meant 'to test or prove.'

'erroneously' changed from the Old French word 'erroneus' and eventually became the modern English word 'erroneous.' 'Approved' evolved from the Old French word 'aprover' and became the modern English word 'approve.'

Initially, 'erroneous' meant 'wandering or straying,' but over time it evolved into its current meaning of 'incorrect or mistaken.' 'Approved' has largely retained its original meaning of 'to test or prove.'