32=2 3 \sqrt{2} = 2 ???

Is it possible to use exactly three 2 \sqrt{2} 's and no multiplication signs to get 2?

Example : It is possible to get 3×2 3 \times \sqrt{2} by simply adding the 2 \sqrt{2} 's together. It is also possible to get 2 \sqrt{2} by (2+22)( \sqrt{2} + \sqrt{2} - \sqrt{2}) .

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