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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.
What exactly IS a square root? - Mathematics Stack Exchange
The definition of "the square root of x x " is "the positive number y y such that y2 y 2 equals x x ". This is an implicit definition, and so it makes sense that it takes a little thought as to how to actually compute it (Trevor Wilson's link is a good one). But as Paul Picard said, don't let the notation x1/2 x 1 / 2 (or similarly xπ x π) fool you into thinking that you're multiplying x x ...
Why the name "square root"? - Mathematics Stack Exchange
The "root" of "square root" is from latin radix. From Florian Cajori, A history of mathematical notations (1928), page 361 of I vol of Dover reprint : The principal symbolisms for the designation of roots, which have been developed since the influx of Arabic learning into Europe in the twelfth century, fall under four groups having for their basic symbols, respectively, R R (radix), l l (latus ...
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 121 121 without prior knowledge that 112 11 2 is 121 121?
Is the square root of a negative number defined?
A square root of a number a a is any number x x with x2 = a x 2 = a, or equivalently a root of the polynomial x2 − a x 2 a. The fundamental theorem of algebra implies that every complex number a a has a square root.
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.
why the square root of x equals x to the one half power
why the square root of x equals x to the one half power [duplicate] Ask Question Asked 11 years, 11 months ago Modified 1 year, 5 months ago
Square Root of $x^2$ - Mathematics Stack Exchange
So if the square root is defined to be the principal square root, I do not need to write |x| for sqrt (x^2). Because it's agreed that the principle square root is meant. so sqrt (x^2) = x. Am I right?
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.
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