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 …

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 …

What does the small number on top of the square root symbol mean? Ask Question Asked 12 years, 2 months ago Modified 5 years, 1 month ago

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 …

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 like implicit.

Approximating square roots using binomial expansion. Ask Question Asked 8 years, 9 months ago Modified 1 year, 3 months ago

May 27, 2014 · Although yes, the square of any positive real is equal to the square of the corresponding negative, the square root function cannot be well-defined if it generates both a …

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 …

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.

Nov 17, 2013 · A slightly higher-level way to phrase the issue is that the usual square root is not a "function" at all. "Doing the same thing" to both sides only preserves equality if "doing the …