eradicate vs exterminate

eradicate and exterminate both are verbs.

Word	Noun	Adjective	Verb	Adverb
eradicate	No	No	Yes	No
exterminate	No	No	Yes	No

As verbs, eradicate and exterminate are synonyms defined as:

Other synonyms of eradicate include extirpate, root out, uproot.

eradicate (verb)	exterminate (verb)
kill in large numbers	kill en masse; kill on a large scale; kill many
destroy completely, as if down to the roots	destroy completely, as if down to the roots