ineradicable adj 1: not able to be destroyed or rooted out; "ineradicable superstitions" [ant: {eradicable}]
Ineradicable \In`e*rad"i*ca*ble\, a. Incapable of being eradicated or rooted out. [1913 Webster] The bad seed thus sown was ineradicable. --Ld. Lytton. [1913 Webster]
19 Moby Thesaurus words for "ineradicable": deathless, immortal, imperishable, impregnable, incorruptible, indelible, indestructible, ineffaceable, inexpugnable, inextinguishable, invincible, invulnerable, nonperishable, quenchless, undampable, undestroyable, undying, unerasable, unquenchable