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Lilit [14]
2 years ago
7

Is the square of a complex number always a real number? Explain how, please I would like to finish this tonight.

Mathematics
2 answers:
Artemon [7]2 years ago
7 0

Answer:

<em>The absolute square of a complex number is calculated by multiplying it by its complex conjugate. This give the magnitude squared of the complex number. The absolute square is </em><em>A</em><em>l</em><em>w</em><em>a</em><em>y</em><em>s</em><em> </em><em>R</em><em>e</em><em>a</em><em>l</em><em>. We will use complex exponentials all the time.</em>

seraphim [82]2 years ago
7 0

Answer:

Step-by-step explanation:

I don't thing it is very often unless it is of the form

5i

When you square that, you get a real number (5i)^2 = - 25

On the other hand when you have a binomial like

3 + 2i

and you square that, the result is still a complex number.

(3+2i)(3+2i) = 9 + 6i + 6i + 4i^2 = 5 + 12i

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