(根号a+b-根号ab/根号a+根号b)除以(a/根号ab+b+b/根号ab-a-a+b/根号ab)

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/22 02:56:28
(根号a+b-根号ab/根号a+根号b)除以(a/根号ab+b+b/根号ab-a-a+b/根号ab)(根号a+b-根号ab/根号a+根号b)除以(a/根号ab+b+b/根号ab-a-a+b/根号ab)

(根号a+b-根号ab/根号a+根号b)除以(a/根号ab+b+b/根号ab-a-a+b/根号ab)
(根号a+b-根号ab/根号a+根号b)除以(a/根号ab+b+b/根号ab-a-a+b/根号ab)

(根号a+b-根号ab/根号a+根号b)除以(a/根号ab+b+b/根号ab-a-a+b/根号ab)
[√a+(b-√ab)/(√a+√b)]÷[a/(√ab+b)+b/(√ab-a)-(a+b)/√ab]
=[√a+(b-√ab)/(√a+√b)]÷[a/(√ab+b)+b/(√ab-a)-(a+b)/√ab]
=[a+√ab/(√a+√b)+(b-√ab)/(√a+√b)]÷[a/(√ab+b)+b/(√ab-a)-(a+b)/√ab]
=[a+b/(√a+√b)]÷[(√ab-1)(a+b)/√ab]
=√ab/(√ab-1)(√a+√b)