The calculated distance (air line) between Bernau am Chiemsee and Nürnberg is approximately 128 miles respectively 206 kilometers.
By car or train, the actual journey to Nürnberg is certainly longer, as only the direct route (as the crow flies) between Bernau am Chiemsee and Nürnberg has been calculated here.
Air line (approximately)
206 kilometers
111 nautical miles