The value of (2 √2)/(2-√2) is:

\frac{2 \sqrt{2}}{2-\sqrt{2}}

multiply and divide by ( 2 + √2 )

⇒ \frac{2 \sqrt{2}}{2-\sqrt{2}} × \frac{2  + \sqrt{2}}{2+ \sqrt{2}}

⇒ \frac{4 \sqrt{2} + 4 }{2}

= $2(\sqrt{2}+1)$