The calculated distance (air line) between Murnau am Staffelsee and Nürnberg is approximately 123 miles respectively 197 kilometers.
By car or train, the actual journey to Nürnberg is certainly longer, as only the direct route (as the crow flies) between Murnau am Staffelsee and Nürnberg has been calculated here.
Air line (approximately)
197 kilometers
107 nautical miles