Question

10．化简：（$\sqrt{18}$-$\sqrt{8}$）÷$\sqrt{2}$×$\frac{1}{\sqrt{2}}$．

Answer 1

分析 首先化简二次根式进而利用二次根式的乘除运算法则求出即可．

解答 解：（$\sqrt{18}$-$\sqrt{8}$）÷$\sqrt{2}$×$\frac{1}{\sqrt{2}}$
=（3$\sqrt{2}$-2$\sqrt{2}$）÷$\sqrt{2}$×$\frac{1}{\sqrt{2}}$
=$\sqrt{2}$÷$\sqrt{2}$×$\frac{1}{\sqrt{2}}$
=$\frac{\sqrt{2}}{2}$．

点评 此题主要考查了二次根式的混合运算，正确化简二次根式是解题关键．