i-th root of -1

Learn more complex numbers from Brilliant: 👉 (20% off with this link!) We know the principal square root of -1 is the imaginary unit i but what if we have the i-th root of -1? We will do a quick review on converting a complex number from the standard form a bi to its polar form re^(i*theta). Then we will see the surprising answer that the i-th root of -1 will actually give us. Related videos: the proof of the Euler's identity (with the Taylor series): i-th root of i: 🛍 Shop Euler's Identity t-shirt (as seen in the video): 10% off with the code “WELCOME10“ 0:00 what's the i-th root of -1 5:30 check out Brilliant 6:08 challenging question (-1)^pi ---------------------------------------- ***Thanks to ALL my lovely patrons for supporting my chan