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AS KNOW square of i equals -1 What is the square root of imaginary function in mathematics?
The answer is obtained using de Moivre's theorem.Suppose you have a complex number z = x + iy
z can also be expressed, in polar coordinates, as r*cos(T) + i*r*sin(T) where
r = sqrt(x^2 + y^2) is the magnitude of z
and
T = arctan(y/x).
Suppose w = sqrt(z)
then magnitude of w = sqrt of the magnitude of z = |sqrt(r)| = q, say
and U = T/2
so that w = q*cos(U) + i*q*sin(U).
Similarly, the cube root of z would be cubert(|z|)*cos(T/3) + i*cubert(|z|)*sin(T/3), and so on.
What else can I help you with?
What does i mean in mathematics?
The symbol "i" is an imaginary number used in algebra, equal to the square root of negative one.
What is the value of i in mathematics?
i is often used to denote the [imaginary] square root of -1. It can also be the unit vector in the horizontal direction.
Why j2 equals -1?
3
What is equivalent to square root -80?
A negative number cannot have a square root in basic mathematics. However, in more advanced mathematics, you will study complex numbers. And there you will find that the square roots of -80 are ± 8.944*i where i is the imaginary square root of -1.Incidentally, ± 8.944 are the square roots of +80.
What is Circle minus square equals triangle?
It is probably a quiz question with nothing to do with mathematics.
What does i squared mean in epidemiology?
i is an imaginary number which equals the square root of -1. i squared is simply -1.
How do you find the square root of negative numbers?
For most school mathematics, negative numbers do not have square roots. This is because a negative number multiplied by itself is a negative times a negative and so is positive. When (if) you study advanced mathematics, you will learn that there is a solution and this falls within the realms of complex mathematics and imaginary numbers.
What the solution equation for x2 equals -49?
51
Is the square root of -100 rational?
The square root of 100 is rational since it is not repeating.
How many square roots does a negative Number have?
This depends on whether you include imaginary numbers. The imaginary unit i is defined such that i² = -1. So the square root of -1 will be either i or -i. So the answer is there are 2 square roots for any number. Now if you are at a level of mathematics, which does not yet consider i, then the answer is you cannot take the square root of a negative.
What times what equals 390 but adds to 3?
393
Is negative 100 square root Rational or Irrational?
The square root of 100 is rational since it is not repeating. No. The square root of a negative number is not a real number, but an imaginary number, because no real number squared equals a negative number. The square root of a negative number is a so-called IMAGINARY number
