eradicate vs root out

eradicate and root out both are verbs.

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

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

Other synonyms of eradicate include exterminate, extirpate, uproot.

eradicate (verb)	root out (verb)
kill in large numbers	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