The calculated distance (air line) between Nozhay-Yurt and Makhachkala is approximately 57 miles respectively 93 kilometers.
By car or train, the actual journey to Makhachkala is certainly longer, as only the direct route (as the crow flies) between Nozhay-Yurt and Makhachkala has been calculated here.
Air line (approximately)
93 kilometers
50 nautical miles