(1+根2/根5+根3)+(1-根2/根5-根3)=根5-根6

来源:学生作业学帮网 编辑:学帮网 时间:2024/05/16 08:53:27

(1+根2/根5+根3)+(1-根2/根5-根3)=根5-根6

(1+√2)/(√5+√3)+(1-√2)/(√5-√3)
=(1+√2)(√5-√3)/(5-3)+(1-√2)(√5+√3)/(5-3)
=(2√5-2√6)/2
=√5-√6

通分得
原式=[(1+√2)(√5-√3)+(1-√2)(√5+√3)]/[(√5+√3)(√5-√3)]
=(√5-√3+√10-√6+√5+√3-√10-√6)/2
=√5-√6