Comment 7 for bug 24680

In Windows, you only get the GUI popup if you have the appropriate OSD app installed. Even without it, however, Fn+F5 toggles in a rotation:

Both on
Wireless on, bluetooth off
Bluetooth on, wireless off
Both off

At least, that's how it works in my Windows installation (no GUI, just silent changes).

I may have the order of the two intermediate steps backwards (in the middle of too many things to reboot and test), but that's the basic idea.