exaggerate vs embellish

exaggerate and embellish both are verbs.

Word	Noun	Adjective	Verb	Adverb
exaggerate	No	No	Yes	No
embellish	No	No	Yes	No

As verbs, embellish is a hyponym of exaggerate; that is, embellish is a word with a more specific, narrower meaning than exaggerate:

exaggerate (verb)	embellish (verb)
to enlarge beyond bounds or the truth	make more beautiful
do something to an excessive degree	add details to
	make more attractive by adding ornament, colour, etc.
	be beautiful to look at