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(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 编辑:神马作文网作业帮 分类:数学作业 时间:2024/11/10 12:09:14
(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)