May 12, 2015 · It's come to my attention that I don't actually understand what a square root really is (the operation). The only way I know of to take square roots (or nth root, for that matter) it to know the an...

May 12, 2015 · The square root of i is (1 + i)/sqrt (2). [Try it out my multiplying it by itself.] It has no special notation beyond other complex numbers; in my discipline, at least, it comes up about half as …

Apr 13, 2014 · This approach is not without fault either, since you're now no longer talking strictly about the square root of a complex number. The points on the Riemann surface tell you which square root …

Jun 9, 2011 · The square root is not a well defined function on complex numbers. Because of the fundamental theorem of algebra, you will always have two different square roots for a given number.

Feb 8, 2020 · It is impossible to find the square root of negative one, or the square root of any negative number, because no number times itself can equal a negative number.

Mar 7, 2016 · Powers are multiplying a value by itself. What is a square root? To be clear, I'm asking what function a square root actually performs? I can't seem to come up with an answer without the …

May 27, 2014 · Can the square root of a real number be negative? Dealing with the questions of functions in eleventh class my maths teacher says that square root of a real number is always …

Jan 13, 2019 · I'm old $35$ but starting just now with maths, so sorry if I ask non complex questions. $0$ is the only number that just has one square root. Is the explanations for this simply that 0 in …

Nov 12, 2016 · What would be the derivative of square roots? For example if I have $2 \\sqrt{x}$ or $\\sqrt{x}$. I'm unsure how to find the derivative of these and include them especially in something …

The square root was defined long before some people hopped around a Christmas tree with a drum, and that definition works perfectly well with $0$, no matter if real or complex.