Are these Real numbers? \(e^{i}\), \(i^{i}\), \(\sqrt{i}\)

Algebra Level 3

Fill in the Blank:

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

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