exterminate vs root out

exterminate and root out both are verbs.

Word	Noun	Adjective	Verb	Adverb
exterminate	No	No	Yes	No
root out	No	No	Yes	No

As verbs, exterminate and root out are synonyms defined as:

Other synonyms of exterminate include eradicate, extirpate, uproot.

exterminate (verb)	root out (verb)
kill en masse; kill on a large scale; kill many	pull up by or as if by the roots
destroy completely, as if down to the roots	destroy completely, as if down to the roots