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What exactly IS a square root? - Mathematics Stack Exchange
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.
Why is square root symbol the principal square root?
When researching square roots I found that $\\sqrt{x}$ is the principal square root and $\\pm\\sqrt{x}$ is the square roots, with the reason for why being given through an example equation by user9464...
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 square root of 2 does --- that is, it isn't rare, but it arises only because of our prejudice for things which can be expressed using small integers.
Square root of zero - Mathematics Stack Exchange
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 arithmeti...
What is a square root? - Mathematics Stack Exchange
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 concept of powers to refer to. For example; how would you go about solving the square root of $121$ without prior knowledge that $11^2$ is $121$?
How to find the square root of a number? - Answers
To find the square root of a number, you can use a calculator or a mathematical formula. The square root of a number is a value that, when multiplied by itself, gives the original number.
Square roots -- positive and negative - Mathematics Stack Exchange
For convenience, the square root of non-negative real numbers is usually taken to be the non-negative real value, but there is nothing other than practicality to stop you from taking some other pattern. Such arbitrary choices can raise significant issues when considering, for example, cube-root functions defined on the real and complex numbers.
radicals - How do I get the square root of a complex number ...
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.
functions - Square root definition - Mathematics Stack Exchange
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 in the Wikipedia page you refer to.
Why is the square root of a negative number impossible?
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.
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