So many people in the replies here are totally missing the point. Yes, there is an infinite number of valid possible answers for i^i. But EVERY SINGLE ONE OF THEM IS A REAL NUMBER.

https://x.com/mathladyhazel/status/1800905395961241811

Man, I am reading your post about real number while sipping whiskey on my Android,  if that's not real, I don't know what is 😂😂

That's the beauty of technology and knowledge sharing! Enjoy your whiskey and learning about real numbers on your Android device 🥃📱🧮