当x=2,y=3求代数式根号x/根号x-根号y-根号y/根号x+根号y
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解:√x/(√x-√y)-√y/(√x+√y)
=√x(√x+√y)/(x-y)-√y(√x-√y)/(x-y)(分母有理化)
=(x+√xy)/(x-y)-(√xy-y)/(x-y)
=(x+√xy-√xy+y)/(x-y)
=(x+y)/(x-y)
=(2+3)/(2-3)
=-5
=√x(√x+√y)/(x-y)-√y(√x-√y)/(x-y)(分母有理化)
=(x+√xy)/(x-y)-(√xy-y)/(x-y)
=(x+√xy-√xy+y)/(x-y)
=(x+y)/(x-y)
=(2+3)/(2-3)
=-5
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