题目

   Most people know that Marie Curie was the first woman to win the Nobel Prize, and the first person to win it twice. However, few people know that she was also the mother of a Nobel Prize winner.    Born in September, 1897, Irene Curie was the first of the Curies' two daughters. Along with nine other children whose parents were also famous scholars, Irene studied in their own school, and her mother was one of the teachers. She finished her high school education at the College of Sévigné in Paris.    Irene entered the University of Paris in 1914 to prepare for a degree in mat6．a，b都是自然数，且（$\sqrt{a}$+$\sqrt{3b}$）2=8+4$\sqrt{3}$，求a，b的值．