To make smooth or smoother; to cover with a smooth surface or substance.
From be- plus smooth (Old English smeð, from Proto-Germanic *smothaz). The prefix suggests making something thoroughly smooth.
Besmooth is charmingly literal—it says what it means with no metaphorical baggage. Compare it to besmirch, which jumped straight to moral meaning. This shows how some 'be-' verbs stay concrete while others develop psychological dimensions.
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