While your Alhambra tickets don't include an audio tour, you can pick up an interactive audioguide of the Alhambra on the premises. This rental will cost between 4-7 euros, depending on which areas you want to hear about. Alternatively, the Alhambra and the Generalife app is free to download on iOS and Android devices.
This tour includes an interactive map of the complex, audio content, historical images, videos and 360º panoramic views. You're free to choose between several routes adapted to different itineraries, tastes and available times.
The convenient Granada Pass also features an audio-guided tour of the Alhambra.