Yes, they come from the same proto-indo-european root! The word is still slavic, since that's how the proto-indo-european root changed in the territories inhabi

Yes, they come from the same proto-indo-european root! The word is still slavic, since that's how the proto-indo-european root changed in the territories inhabited by slavic people, as opposed to the changes that happened in latin. Same how "arbeit" is germanic. If you go back long enough, German, Italian and Czech are the same language, but that doesn't mean that modern classification of differences isn't relevant.