The Apple Method
The Apple Method is a method for solving algebra problems. An apple is used to make a clever algebraic substitution.
Examples
1. Evaluate: ![\[\sqrt{6+\sqrt{6+\sqrt{6+\cdots}}}\]](http://latex.artofproblemsolving.com/b/a/9/ba931c757fe2ab64fb02b7b34de5a0e22ea0b44c.png)
If we set https://upload.wikimedia.org/wikipedia/commons/thumb/0/06/Red_apple.svg/40px-Red_apple.svg.png
, we can see that https://upload.wikimedia.org/wikipedia/commons/thumb/0/06/Red_apple.svg/40px-Red_apple.svg.png
https://upload.wikimedia.org/wikipedia/commons/thumb/0/06/Red_apple.svg/40px-Red_apple.svg.png.
Solving, we get https://upload.wikimedia.org/wikipedia/commons/thumb/0/06/Red_apple.svg/40px-Red_apple.svg.png 
