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  1. What is $\\sqrt{i}$? - Mathematics Stack Exchange

    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 often as the …

  2. What exactly IS a square root? - Mathematics Stack Exchange

    May 12, 2015 · The square of the square root of a number is that same number, or $$\left (\sqrt x\right)^2=x.$$ It turns out that this definition is consistent with a fractional exponent.

  3. Is the square root of a negative number defined?

    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 …

  4. Why the name "square root"? - Mathematics Stack Exchange

    The idea of the square root existed in Egypt and the technical term for it was Knbt, literally “corner” or “angle.” Peet has the explanation for that, that the length of each of the two sides of a square …

  5. Why is the square root of a negative number impossible?

    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.

  6. Can the square root of a real number be negative? [duplicate]

    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 …

  7. What is a square root? - Mathematics Stack Exchange

    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 …

  8. radicals - How do I get the square root of a complex number ...

    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.

  9. What does the small number on top of the square root symbol mean?

    What does the small number on top of the square root symbol mean? Ask Question Asked 12 years, 4 months ago Modified 5 years, 4 months ago

  10. Derivative of square root - Mathematics Stack Exchange

    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 …