**Principal square root function in Desmos:**
https://www.desmos.com/calculator/do61nnowv6
0:00 Introduction
1:00 "Branch" of a Complex Function
2:00 Example with f(z) = z²
2:58 Domains of One-to-One-ness for f(z) = z²
4:50 Branches of f(z) = z²
9:28 The Principal Square Root
11:07 Examples
14:09 Domain of Principal Square Root
15:29 Discontinuity of Principal Square Root
17:15 Wrapup