己知a=2+根号3,b=2-根号3,试求b分之a-a分之b的值

2024-11-26 22:28:00
推荐回答(2个)
回答1:

a/b-b/a=(a²-b²)/ab=[(a+b)(a-b)]÷ab,∵a=2+√3,b=2-√3,∴[(a+b)(a-b)]÷ab=[﹙2+√3+2-√3﹚×﹙2+√3-2+√3﹚]÷﹙2+√3﹚×﹙2-√3﹚=8√3

回答2: