Question

18．计算：$\sqrt{72}÷3\sqrt{2}×\frac{1}{{\sqrt{2}}}$=$\sqrt{2}$．

Answer 1

分析 直接利用二次根式的乘除运算法则化简求出答案．

解答 解：$\sqrt{72}÷3\sqrt{2}×\frac{1}{{\sqrt{2}}}$
=6$\sqrt{2}$÷3$\sqrt{2}$×$\frac{1}{\sqrt{2}}$
=2×$\frac{\sqrt{2}}{2}$
=$\sqrt{2}$．
故答案为：$\sqrt{2}$．

点评 此题主要考查了二次根式的乘除运算，正确掌握运算法则是解题关键．