Final answer:
To facilitate the disconnection of a firefighting hose, you should use a spanner wrench.
Step-by-step explanation:
The type of wrench that you should use to facilitate the disconnection of a firefighting hose is a spanner wrench. A spanner wrench is specifically designed to tighten or loosen nuts, bolts, and fittings with smooth cylindrical surfaces, such as hose connections. It provides a secure grip and allows for easy disconnection without damaging the hose.