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Calculus Level 2

Find the largest number among the following :11,22,33,44,55,66,77\color{#20A900}{\sqrt [1]{1},\sqrt [2]{2},\sqrt [3]{3},\sqrt [4]{4},\sqrt [5]{5},\sqrt [6]{6},\sqrt [7]{7}}If the largest number is of the form nn\sqrt [n]{n}, enter the value of n+nn+n.

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