The calculated distance (air line) between As Sulaymānīyah and Takāb is approximately 110 miles respectively 177 kilometers.
By car or train, the actual journey to Takāb is certainly longer, as only the direct route (as the crow flies) between As Sulaymānīyah and Takāb has been calculated here.
Air line (approximately)
177 kilometers
96 nautical miles