The name for the Muslim who ruled Spain from the 700s ce until 1492 was Moors or Moorish
Explanation:
Islamic Spain consisted of three religions: Christians, Muslims, and Jews. These Muslim people ruled Spain nearly 800 years from 711 to 1492. They were called Moors or Moorish and they belonged to native Africa.
Julian, a Christian chief sought the help of north Africa governor Musa ibn Nusair to fight against Spain's ruler at the time called Roderick. Musa helped by sending a troop of 7000 men along with a general Tariq bin Ziyad.
They easily won the battle against Roderick and his army. Then they took control of a large part of Spain, by the year 720 Spain was mostly under the Moorish Control.