# Complex city

**Calculus**Level 3

If \(\sqrt{-1}= i\), then the expression below:

\(\huge \sqrt[i]{\sqrt[.]{\sqrt[.]{\sqrt[.]{\sqrt[i]{\sqrt[i]{\sqrt[i]{i^i}^i}^i}^.}^.}^.}^i}\) :

Can also be written as:

If \(\sqrt{-1}= i\), then the expression below:

\(\huge \sqrt[i]{\sqrt[.]{\sqrt[.]{\sqrt[.]{\sqrt[i]{\sqrt[i]{\sqrt[i]{i^i}^i}^i}^.}^.}^.}^i}\) :

Can also be written as:

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