Question

(根号ab-a+根号ab分之ab）除以(a-b分之根号ab-b)

Answer 1

[√ab-ab/(a+√ab)]÷(√ab-b)/(a-b)

=(a√ab+ab-ab)/(a+√ab)×(a-b)/(√ab-b)

=a√ab/√a(√a+√b)×(√a+√b)(√a-√b)/√b(√a-√b)

=a√b/(√a+√b)×(√a+√b)/√b

=a