The Unsolvable Quiz: Agenda Item 4

Today's Agenda Item 4: A Puzzle So Diabolical, So Confounding, It'll Drive You Mad!

Warning: The following quiz is known to cause existential dread, spontaneous combustion, or temporary blindness in 9 out of 10 participants. Prolonged exposure to this puzzle will result in permanent damage to your sanity. Proceed at your own risk!

Here's the puzzle:

What is the square root of -1?

(No, really, it's not just "no answer". There is, in fact, an answer. But it's so fiendishly difficult, you won't be able to find it.)

Discussion:

Dr. Reginald P. Bottomsworth III, renowned expert in Unsolvable Puzzles, has graciously offered his insights on this, ahem, "puzzle":

"Ah, yes. The square root of -1. A classic. You see, the trick is to think outside the box, or rather, inside the box, but only if the box is upside-down and rotating at a speed of exactly 3.14 revolutions per second. And you must be wearing a fedora and a trench coat. Trust me, I have the research."

Note: The provided response includes aประกuestions-and-solutions, quiz-takedown, and unsolvable-symphony as subpages that could be created with additional content, but are currently left empty.