What is $\sqrt {i}$? - Mathematics Stack Exchange
13 Mar 2026 at 3:35pm
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.
What exactly IS a square root? - Mathematics Stack Exchange
12 Mar 2026 at 12:23pm
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...
Why is square root symbol the principal square root?
12 Mar 2026 at 10:43am
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 a square root? - Mathematics Stack Exchange
13 Mar 2026 at 9:47pm
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 $121$?
Square roots -- positive and negative - Mathematics Stack Exchange
15 Mar 2026 at 3:58am
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.
Is the square root of a negative number defined?
13 Mar 2026 at 12:57pm
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 to pick, and there is one point for each square root. Since -1 is a complex number, not a point on the surface, $\sqrt {-1}$ doesn't make sense.
What does the small number on top of the square root symbol mean?
12 Mar 2026 at 10:07am
What does the small number on top of the square root symbol mean? Ask Question Asked 12 years, 7 months ago Modified 5 years, 6 months ago
functions - Square root definition - Mathematics Stack Exchange
10 Mar 2026 at 2:48pm
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.
How to find the square root of a number? - Answers
8 Mar 2026 at 1:58am
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.
why the square root of x equals x to the one half power
11 Mar 2026 at 11:01pm
why the square root of x equals x to the one half power [duplicate] Ask Question Asked 12 years, 1 month ago Modified 1 year, 6 months ago
WHAT IS THIS? This is an unscreened compilation of results from several search engines. The sites listed are not necessarily recommended by Surfnetkids.com.
13 Mar 2026 at 3:35pm
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.
What exactly IS a square root? - Mathematics Stack Exchange
12 Mar 2026 at 12:23pm
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...
Why is square root symbol the principal square root?
12 Mar 2026 at 10:43am
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 a square root? - Mathematics Stack Exchange
13 Mar 2026 at 9:47pm
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 $121$?
Square roots -- positive and negative - Mathematics Stack Exchange
15 Mar 2026 at 3:58am
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.
Is the square root of a negative number defined?
13 Mar 2026 at 12:57pm
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 to pick, and there is one point for each square root. Since -1 is a complex number, not a point on the surface, $\sqrt {-1}$ doesn't make sense.
What does the small number on top of the square root symbol mean?
12 Mar 2026 at 10:07am
What does the small number on top of the square root symbol mean? Ask Question Asked 12 years, 7 months ago Modified 5 years, 6 months ago
functions - Square root definition - Mathematics Stack Exchange
10 Mar 2026 at 2:48pm
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.
How to find the square root of a number? - Answers
8 Mar 2026 at 1:58am
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.
why the square root of x equals x to the one half power
11 Mar 2026 at 11:01pm
why the square root of x equals x to the one half power [duplicate] Ask Question Asked 12 years, 1 month ago Modified 1 year, 6 months ago
WHAT IS THIS? This is an unscreened compilation of results from several search engines. The sites listed are not necessarily recommended by Surfnetkids.com.
