# Root 11 to the infinity

Algebra Level 2

$\large \sqrt{\color{brown}{11} + \sqrt {\color{indigo}{11} + \sqrt{\color{green}{11} + \sqrt {\color{orange}{11} + \sqrt {\color{pink}{11} \ldots }}}}}$

What is the value of the expression above? Round your answer off to nearest whole number.

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