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6n×111…×222…×…×nnn… \sqrt{6n \times \sqrt{1\sqrt{1\sqrt{1\ldots}}} \times \sqrt{2\sqrt{2\sqrt{2\ldots}}} \times \ldots \times \sqrt{n\sqrt{n\sqrt{n\ldots}}} } 6n×111…×222…×…×nnn…
For a particular positive value of nnn, the expression with infinitely nested radicals above can be simplified to 12n12n12n. What is the value of nnn?
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