舉例: Example: 2 + 2 2 + 1 {\displaystyle {\frac {2+{\sqrt {2))}((\sqrt {2))+1))}
一些人認為: Some people think: 2 + 2 2 + 1 = 2 + 2 2 + 1 = 2 1 = 2 {\displaystyle {\begin{aligned}{\frac {2+{\sqrt {2))}((\sqrt {2))+1))&={\frac {2+{\cancel {\sqrt {2))))((\cancel {\sqrt {2))}+1))\\&={\frac {2}{\cancel {1))}\\&=2\\\end{aligned))}
正確答案: Correct answer: 2 + 2 2 + 1 = 2 ( 2 + 1 ) 2 + 1 = 2 ( 2 + 1 ) 2 + 1 = 2 {\displaystyle {\begin{aligned}{\frac {2+{\sqrt {2))}((\sqrt {2))+1))&={\frac ((\sqrt {2))\left({\sqrt {2))+1\right)}((\sqrt {2))+1))\\&={\frac ((\sqrt {2)){\cancel {\left({\sqrt {2))+1\right)))}{\cancel ((\sqrt {2))+1))}\\&={\sqrt {2))\\\end{aligned))}