After defeating the Visigoths in only a few months, the Umayyad Caliphate started expanding rapidly in the peninsula. Beginning in 711, the land that is now Portugal became part of the vast Umayyad Caliphate's empire of Damascus, which stretched from the Indus river in the Indian sub-continent (now Pakistan) up to the South of France, until its collapse in 750. That year the west of the empire gained its independence under Abd-ar-Rahman I with the establishment of the Emirate of Cordoba. After almost two centuries, the Emirate became the Caliphate of Cordoba in 929, until its dissolution a century later in 1031 into no less than 23 small kingdoms, called Taifa kingdoms.
Is there an answer to this question (If it cannot be answered, say "unanswerable"): How long did it take the Umayyad Caliphate to defeat the Visigoths?
a few months