Which command would be used to display only the EIGRP routes in the IP routing table?

The command used to display only the EIGRP routes in the IP routing table is "show ip route eigrp." This command is specifically designed to filter the routing table output to show only routes learned through the Enhanced Interior Gateway Routing Protocol (EIGRP). When executed, it compiles and presents solely those entries that were acquired through EIGRP, allowing network engineers to quickly assess routing information pertaining to that particular protocol without the clutter of other routing protocols.

Other options do not serve the purpose of displaying only EIGRP routes. For instance, "show ip route" will provide the entire IP routing table, including routes learned from all protocols, making it less efficient when the goal is to focus solely on EIGRP. The command "show eigrp routes" is not a valid command in Cisco IOS to display routing information, and "show ip eigrp topology" is used to display the topology table for EIGRP and not the actual IP routing table. Thus, "show ip route eigrp" is the appropriate command to target EIGRP-specific routes efficiently.