Question

9．化简：$\frac{\sqrt{xy}}{-x}+\frac{\sqrt{xy}}{-y}$．

Answer 1

分析 首先通分，进而利用分式加法运算法则化简求出即可．

解答 解：$\frac{\sqrt{xy}}{-x}+\frac{\sqrt{xy}}{-y}$
=-$\frac{y\sqrt{xy}}{xy}$-$\frac{x\sqrt{xy}}{xy}$
=-$\frac{x+y}{xy}$$\sqrt{xy}$．

点评 此题主要考查了二次根式的加减运算，正确通分得出是解题关键．