2/12/2023 0 Comments Imaginary numbers help![]() The nature of problems solved these days has increased the chances of encountering complex numbers in solutions. So when the negative signs can be neutralized before taking the square root, it becomes wrong to simplify to an imaginary number. However, this does not apply to the square root of the following,Īnd not sqrt(-4) * sqrt(-3) = 2 j * sqrt(3)j From this representation, the magnitude of a complex number is defined as the point on the Cartesian plane where the real and the imaginary parts intersect.Ĭare must be taken when handling imaginary numbers expressed in the form of square roots of negative numbers. ![]() The x-axis represents the real part, with the imaginary part on the y-axis. For example, a + bj is a complex number with a as the real part of the complex number and b as the imaginary part of the complex number.Ĭomplex numbers are sometimes represented using the Cartesian plane. An imaginary number can be added to a real number to form another complex number. The square of an imaginary number, say bj, is ( bj)2 = - b2. ![]() So the square of the imaginary unit would be -1. The imaginary unit is defined as the square root of -1. The difference is that an imaginary number is the product of a real number, say b, and an imaginary number, j. An imaginary number is essentially a complex number - or two numbers added together.
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