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  1. 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 …

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

    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 …

  4. 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 …

  5. Square root inside a square root - Mathematics Stack Exchange

    Jun 24, 2014 · Square root inside a square root Ask Question Asked 11 years, 5 months ago Modified 4 years, 11 months ago

  6. functions - Square root definition - Mathematics Stack Exchange

    Jun 14, 2024 · It is standard when working over the real numbers to take the square root function to return the non-negative square root. This is called the principal square root and is described …

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

    Apr 13, 2014 · Here is an image, taken from Wikipedia, for the Riemann surface for the square root function: This approach is not without fault either, since you're now no longer talking …

  8. What does the small number on top of the square root symbol …

    I just came across this annotation in my school's maths compendium: The compendium is very brief and doesn't explain what this means.

  9. Why is square root symbol the principal square root?

    Oct 3, 2024 · For over 100 years and in well over 100 "regional math locations" in the world, $\;\sqrt {\;\;}\;$ has represented the nonnegative square root of a nonnegative real number. …

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

    The term [jadhr] does not mean “root,” but “square basis,” that by whose multiplication we get the square area. This was the reason why jadhr was used by later writers, such as Omar …