It didn't, the roots of the word are from the Anglo-Norman word surgien ~900 years ago.
The similarities would be that both the German and the English words would share their roots in the latin chirurgia, which in turn comes from the Greek kheirourgia ‘handiwork, surgery’, from kheir ‘hand’ + ergon ‘work’
The similarities would be that both the German and the English words would share their roots in the latin chirurgia, which in turn comes from the Greek kheirourgia ‘handiwork, surgery’, from kheir ‘hand’ + ergon ‘work’
Source: Google Etymology