Show that 112+2\displaystyle \frac{1}{\frac{1}{\sqrt{2}} + \sqrt{2}}21+21 can be written as 23\displaystyle \frac{\sqrt{2}}{3}32
Hence find the exact value of 312+2\displaystyle \frac{3}{\frac{1}{\sqrt{2}} + \sqrt{2}}21+23
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