The Alhambra has the remains of some arab baths. They are on the right as you walk down from the ticket office to the entrance to the Nazrid palaces.
At one time bathing was extremely important in daily life in Granada and the Moslem world in General. A person of reasonably high social standing would visit the baths at least once a week, in order to maintain cleanliness and beauty.
The Arab baths were also connected with religion and they could be used to perform the ghusul (full-body ablution) which is an Arabic term referring to the full-body ritual purification mandatory before the performance of various rituals and prayers, for any adult Muslim after having ejaculation or completion of the menstrual cycle.
At one time it was considered that there were three essential elements for an (early) Islamic city: A mosque, a market and, public baths (Hammams). As time went by their popularity decreased because of a renewed popularity of private bathhouses for the rich and elite. However public hammams remained an important service for the general population.
We have some more information about Arab baths Click here