We found one dictionary that defines the word root-and-branchers:

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1. root-and-branchers: Wiktionary

▸ Words similar to root-and-branchers ▸ Usage examples for root-and-branchers ▸ Idioms related to root-and-branchers ▸ Wikipedia articles (New!) ▸ Words that often appear near root-and-branchers ▸ Rhymes of root-and-branchers ▸ Invented words related to root-and-branchers