一道二次根式化简题!十万火急!根号a-根号b/根号a+根号b + (根号a/a+根号ab - 根号b/b-根号ab)÷1/根号b

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一道二次根式化简题!十万火急!根号a-根号b/根号a+根号b+(根号a/a+根号ab-根号b/b-根号ab)÷1/根号b一道二次根式化简题!十万火急!根号a-根号b/根号a+根号b+(根号a/a+根号

一道二次根式化简题!十万火急!根号a-根号b/根号a+根号b + (根号a/a+根号ab - 根号b/b-根号ab)÷1/根号b
一道二次根式化简题!十万火急!
根号a-根号b/根号a+根号b + (根号a/a+根号ab - 根号b/b-根号ab)÷1/根号b

一道二次根式化简题!十万火急!根号a-根号b/根号a+根号b + (根号a/a+根号ab - 根号b/b-根号ab)÷1/根号b
原式=(√a-√b)²/(√a-√b)(√a+√b)+[√a/√a(√a+√b)-√b/√b(√b-√a)]÷1/√b
=(a-2√ab+b)/(a-b)+[1/(√a+√b)+1/(√a-√b)]÷1/√b
=(a-2√ab+b)/(a-b)+{[(√a-√b)+(√a+√b)]/(√a+√b)(√a-√b)}×√b
=(a-2√ab+b)/(a-b)+[2√a/(a-b)]×√b
=(a-2√ab+b+2√ab)/(a-b)
=(a+b)/(a-b)