(x-y)/(x根号y-y根号x)求 分母有理化

问题描述:

(x-y)/(x根号y-y根号x)求 分母有理化

原式=(x-y)(x√y+y√x)/(x√y+y√x)(x√y-y√x)
=(x-y)(x√y+y√x)/(x²y-xy²)
=(x-y)(x√y+y√x)/[xy(x-y)]
=(x√y+y√x)/(xy)