Find the square root of the complex number, calculate the magnitude of the number and its square roots, and plot all the points on the given complex plane. z=3+4i 3.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Complex Numbers
Section4.3: The Complex Plane
Problem 4ECP
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Find the square root of the complex number, calculate the magnitude of the number
and its square roots, and plot all the points on the given complex plane.
z=3+4i
er:
W.
Transcribed Image Text:Find the square root of the complex number, calculate the magnitude of the number and its square roots, and plot all the points on the given complex plane. z=3+4i er: W.
Expert Solution
Step 1

Consider the complex number 3+4i.

Find the square root of complex number.

 

let the square root of 3+4i be x+iy that is, 3+4i=x+iy.

Squaring both sides.

3+4i=x+iy2=x2+iy2+i2xy                Identity A+B2=A2+B2+2AB=x2-y2+i2xy                    i2=-1

 

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