eradication (n.)

word-forming element, in English meaning usually "out of, from," but also "upwards, completely, deprive of, without," and "former;" from Latin ex "out of, from within; from which time, since; according to; in regard to," from PIE *eghs "out" (source also of Gaulish ex-, Old Irish ess-, Old Church Slavonic izu, Russian iz). In some cases also from Greek cognate ex, ek. PIE *eghs had comparative form *eks-tero and superlative *eks-t(e)r-emo-. Often reduced to e- before -b-, -d-, -g-, consonantal -i-, -l-, -m-, -n-, -v- (as in elude, emerge, evaporate, etc.).

Proto-Indo-European root meaning "branch, root."

It forms all or part of: deracinate; eradicate; eradication; irradicable; licorice; radical; radicant; radicle; radicular; radish; ramada; ramify; ramus; rhizoid; rhizome; rhizophagous; root; rutabaga; wort.

It is the hypothetical source of/evidence for its existence is provided by: Greek rhiza, Lesbian brisda "root," Greek hradamnos "branch;" Latin radix) "root, radish;" Gothic waurts, Old English wyrt; Welsh gwraidd, Old Irish fren "root."