# Complex-th Root

Algebra Level 5

$\LARGE \sqrt[1+i]{1+i}$ If the absolute value of the above expression can be written in the simplest form of $\LARGE \sqrt[a]{b}e^{\pi/c}$ where $$a, b, c$$ are integers. Find the value of $$\large abc - (a + b + c)$$.

Note that $$i$$ denote the imaginary number and $$e$$ is Euler's number.

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