The only type of socket normally installed in an Irish or British bathroom is a special shaver socket, which is protected by an isolating transformer.
Shavers and toothbrushes are supplied with a plug that looks physically very similar to a 7/16 "Europlug" but with slightly shorter, slightly fatter pins that are spaced slightly closer together.
Our shaver sockets, will however, quite happily accept CEE 7/16, NEMA (2pin) and Aussi (2pin) plugs.
To use a shaver or toothbrush with a normal socket, you need an adaptor like this (2A fuse protected)
The shaver plug's been around since at least the 1930s:
It now has sleved pins, like the Europlug CEE 7/16