you literally correct him > ausrotten means specifically to root out and remove so where in hitler's speech is this transformed ot death or killing? it means remove. etymologically ausrottung means "out-rooting" or rooting out. the corresponding verb is "ausrotten". third-person singular simple present "rottet aus". past tense "rottete aus". past participle "ausgerottet". zu-infinitive "auszurotten". you cannot say for certain it means exterminate or kill, it's clearly an ambigous term used primarily for political rheotric.
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