一道二次根式计算题(√y分之x-√x分之y)÷(1/√y-1/√x)

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一道二次根式计算题(√y分之x-√x分之y)÷(1/√y-1/√x)
一道二次根式计算题
(√y分之x-√x分之y)÷(1/√y-1/√x)

一道二次根式计算题(√y分之x-√x分之y)÷(1/√y-1/√x)
(√y分之x-√x分之y)÷(1/√y-1/√x)
=﹙√xy/y-√xy/x﹚·√xy/﹙√x-√y﹚
=﹙x-y﹚/﹙√x-√y﹚
=√x+√y.

(根号下x/y-根号下y/x)÷(1/根号y-1/根号x)
=(根号x/根号y-根号y/根号x)÷(1/根号y-1/根号x)
=(x-y / 根号下x·y)÷(根号x-根号y / 根号下x·y) (通分)
=(x-y / 根号下x·y)× (根号下x·y / 根号x-根号y)
=x-y / 根号x-根号y
=根号x+根号y (分...

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(根号下x/y-根号下y/x)÷(1/根号y-1/根号x)
=(根号x/根号y-根号y/根号x)÷(1/根号y-1/根号x)
=(x-y / 根号下x·y)÷(根号x-根号y / 根号下x·y) (通分)
=(x-y / 根号下x·y)× (根号下x·y / 根号x-根号y)
=x-y / 根号x-根号y
=根号x+根号y (分母有理化后)

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