This is LaTeX code:

[latex]
e = a\sqrt{2}-a = a(\sqrt{2}-1) \implies a = \frac{e}{\sqrt{2}-1} \cdot \frac{\sqrt{2}+1}{\sqrt{2}+1} = \frac{e(\sqrt{2}+1)}{2-1} = e(\sqrt{2}+1)
[/latex]