Collocations for eradicate - verb

completely, entirely, totally
successfully

try to
help (to)
be difficult to, be hard to
be impossible to
These insects are very difficult to eradicate.

from
The disease has now been successfully eradicated from the world.

an attempt to eradicate sth, an effort to eradicate sth

Eradicate is used with these nouns as the object:
disease, malaria, pest, poverty, prejudice, racism, smallpox