(√a^3b+√ab^3+ab)÷√ab

问题描述:

(√a^3b+√ab^3+ab)÷√ab
[根号(a的三次方×b)+根号(a×b的三次方)+ab]÷根号(ab)

根据题意:ab>=0,即a,b同号.
(√a^3b+√ab^3+ab)÷√ab
=(|a|根号ab+|b|根号ab+ab)÷根号ab
=|a|+|b|+根号ab
(1)当a,b>=0时,原式=a+b+根号ab
(2)当a,b