[(2-根号3)开根号]+[(2+根号3)开根号]怎么化简啊?

[(2-根号3)开根号]+[(2+根号3)开根号]怎么化简啊?
2024-12-20 01:02:02
推荐回答(1个)
回答1:

设x=根号(2-根号3)+根号(2+根号3)

那么:x^2=2-根号3+2+根号3+2根号[(2-根号3)(2+根号3)]
=4+2根号(4-3)
=4+2
=6

即:x^2=6, 故:x=根号6

即原式=根号6