Which routing type allows networks to recover from failed routes?

Dynamic routing is the correct choice as it allows networks to adjust and recover from failed routes automatically. Dynamic routing protocols, such as RIP, OSPF, and EIGRP, constantly exchange information with other routers to maintain an up-to-date view of the network topology. When a route fails, these protocols can quickly find alternative paths based on the current network conditions. This adaptability is essential for maintaining network reliability and performance.

In contrast, static routing relies on manually entered routes, which do not change unless a network administrator makes updates. If a static route fails, the network cannot automatically reroute traffic without manual intervention. Hierarchical routing refers to a design strategy that organizes routes in a structured manner, but it does not inherently provide the ability to adapt to route failures. Multipath routing allows for multiple active paths to the same destination, enhancing load balancing and redundancy, but it does not specifically refer to recovery from failed routes like dynamic routing does.