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If |{:(3^(2)+k,4^(2),3^(2)+3+k),(4^(2)+...

If `|{:(3^(2)+k,4^(2),3^(2)+3+k),(4^(2)+k,5^(2),4^(2)+4+k),(5^(2)+k,6^(2),5^(2)+5+k):}| =0, `then` sqrt(2^(k)sqrt(2^(k)sqrt(2^(k)cdotsoo)))` is _____

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