Are these Real numbers? eie^{i}, iii^{i}, i\sqrt{i}

Algebra Level 3

Fill in the Blank:

Some of the following 3 expressions are multi-valued, while the rest has/have only one value: ei,ii,i. e^{i},\quad i^{i},\quad \sqrt{i}. Also, precisely ______\text{\_\_\_\_\_\_} of them has/have a value that is strictly real.


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