You Do Need power plug adapter while traveling from Monaco to Ireland (Eire).

Here is Why You Need An Adapter

The outlet and plug type used in Ireland (Eire) is G and in Monaco are C, E and F. This is how they look like.

Monaco

In Monaco, outlets of type C, E and F are in use.

Type C

Type E

Type F

Ireland (Eire)

In Ireland (Eire), outlets of type G are in use.

Type G