ex·ter·mi·nate 
(ĭk-stûrmə-nāt′)
(ĭk-stûrmə-nāt′)tr.v. ex·ter·mi·nat·ed, ex·ter·mi·nat·ing, ex·ter·mi·nates
To get rid of by destroying completely: exterminated the termites that were weakening the wall. See Synonyms at annihilate.
[Latin extermināre, extermināt-, to drive out : ex-, ex- + termināre, to mark boundaries (from terminus, boundary marker).]
ex·ter′mi·nation n.
ex·termi·na′tive, ex·termi·na·to′ry (-nə-tôr′ē) adj.