INEXTIRPABLE
inexterminable, inextirpable
(adjective) incapable of extermination or extirpation; “some weeds seem inextirpable”
Source: WordNet® 3.1
Etymology
Adjective
inextirpable (comparative more inextirpable, superlative most inextirpable)
Not capable of being extirpated or rooted out; ineradicable.
Source: Wiktionary
In`ex*tir"pa*ble, a. Etym: [L. inexstirpabilis: cf. F. inextirpable.
See In- not, and Extirpate.]
Definition: Not capable of being extirpated or rooted out; ineradicable.
Source: Webster’s Unabridged Dictionary 1913 Edition