化简：(√ab－ab/a+√ab)÷(√ab－a/a－b)

[√ab - ab/(a+√ab)]÷( (√ab-a) / (a-b) )
= [√ab - ab/(√a(√a+√b))]÷( (√a(√b-√a)) / ((√a-√b)(√a+√b)) )
= [√ab - √a*b/(√a+√b)]÷( -√a / (√a+√b) )
= -[√ab - √a*b/(√a+√b)] /√a * (√a+√b)
= -[√b - b/(√a+√b)] * (√a+√b)
= -[√b(√a+√b) - b]
= -[√ab + b - b]
= -√ab

(√ab－ab)/(a+√ab)÷(√ab－a)/(a－b) ,这样吧!

原式=(√ab－ab)/(a+√ab)*(a－b) /(√ab－a)

=(√ab－ab)(a-b)/ab-a^2
=-(√ab－ab)/a
=b-√(b/a)