(x-y)/(x根号y-y根号x)求 分母有理化

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(x-y)/(x根号y-y根号x)求 分母有理化

(x-y)/(x根号y-y根号x)求 分母有理化
(x-y)/(x根号y-y根号x)求 分母有理化

(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)


(x-y)/(x√y-y√x)
=(x-y)(x√y+y√x)/[(x√y+y√x)(x√y-y√x)]
=(x-y)(x√y+y√x)/[(x√y)²-(y√x)²]
=(x-y)(x√y+y√x)/(x²y-xy²)
=(x-y)(x√y+y√x)/xy(x-y)
=(x√y+y√x)/xy

((x^2)根号y+xy根号x-xy根号y-(y^2)根号x)/((x^2)y-(y^2)x)

分子分母同时乘以 x根号y+y根号x