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.
The question What is the square root of cake? is meant as a joke or riddle. Answers best "mathema-medians" have proposed there are at least 2 'punchlines' as appropriate answers: The sqrt (cake ...
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 Khayyam, as the basic number of a square number.
Could someone explain how/why the square root of $x$ equals $x$ to the one half power? I know by definition it does, but is there any mathematical process we can go through to get from one to the other?
why the square root of x equals x to the one half power
After deriving this and getting some root mean square, wouldn't this just be the same as finding the standard deviation? The standard deviation is the root of the mean of the squared data. Isn't that also just the root mean square? Also, what exactly are the implications of the root mean square, what does it even mean in regards to our problem?
probability - What is the difference between root mean square, and ...