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计算(x根号下y-y的根号下x)/根号下xy

分类: 作业答案 • 2022-06-12 23:37:52
问题描述：

计算(x根号下y-y的根号下x)/根号下xy

答

x根号下y-y的根号下x)/根号下xy
=(xy√x-xy√y)/√(xy)
=(xy√x)/√(xy)-(xy√y)/√(xy)
=(xy)/√y-(xy)/√x
=(xy√y)/(√y)²-(xy√x)/(√x)²
=x√y-y√x

答


原式=（xy√x-xy√y）/xy
=√x-√y

答

(x根号下y-y的根号下x)/根号下xy
=(xy√x-xy√y)/√(xy)
=(xy√x)/√(xy)-(xy√y)/√(xy)
=(xy)/√y-(xy)/√x
=(xy√y)/(√y)²-(xy√x)/(√x)²
=x√y-y√x

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