root out vs eradicate

root out and eradicate both are verbs.

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

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

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

root out (verb)	eradicate (verb)
pull up by or as if by the roots	kill in large numbers
destroy completely, as if down to the roots	destroy completely, as if down to the roots