Where does “госуда́рственный” come from?
госуда́рственный (Russian) comes from Russian госуда́рство, from Russian госуда́рь, from Old East Slavic государь, from Old East Slavic господарь, from Proto-Slavic gospodarь, from Proto-Slavic gospodь, from Proto-Balto-Slavic gastipatis, from Proto-Indo-European gʰóstipotis — to drink.
Ancestry of “госуда́рственный”, step by step
Words derived from “госуда́рственный”