The Apple Method
The Apple Method is a method for solving algebra problems. An apple is used to make a clever algebraic substitution.
Examples
Evaluate: ![\[\sqrt{6+\sqrt{6+\sqrt{6+\cdots}}}\]](http://latex.artofproblemsolving.com/b/a/9/ba931c757fe2ab64fb02b7b34de5a0e22ea0b44c.png)
\emph{Solution:}
If we set 
, we can see that $apple = \sqrt{6+\apple}$ (Error compiling LaTeX. Unknown error_msg).
Solving, we get 
