The calculated distance (air line) between Alkhan-Yurt and Makhachkala is approximately 99 miles respectively 159 kilometers.
By car or train, the actual journey to Makhachkala is certainly longer, as only the direct route (as the crow flies) between Alkhan-Yurt and Makhachkala has been calculated here.
Air line (approximately)
159 kilometers
86 nautical miles