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2+22−22+22−2… \Large \sqrt{2+ \frac{2}{ \sqrt{2- \frac{2}{ \sqrt{2+ \frac{2}{ \sqrt{2- \frac{2}{ \sqrt{ \ldots }}}}}}}}}2+2−2+2−…2222
If the value of the infinitely nested expression above equals xxx, find the value of 1000x1000x1000x.
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