inexterminable

/ˌɪnɪkˈstɜːrmɪnəbəl/
adjective
  1. Impossible to destroy or get rid of completely.
    • The cockroach population in the old building felt almost inexterminable.
    • The weeds in the garden seemed inexterminable no matter how many times we pulled them.
    • Some myths about the disease are inexterminable, persisting for generations.
Antonyms