Question

化去下列根式中根号内的分母ab√1/a^2-1/b^2 =___________.(b＞a＞0)

Answer 1

ab√(1/a^2-1/b^2) =ab√[(b^2-a^2)/(ab)^2]

=ab√[(b-a)(b+a)]×1/ab=√(b-a)(b+a).(b＞a＞0)