Question

find the square root of the complex number 3i
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Answer 1

Answer:

⇒3+4i=2+i

Step-by-step explanation:

Given, z=3+4i

(x+iy)2=3+4i

x2−y2+i(2xy)=3+4i

⇒x2−y2=3 and 2xy=4

⇒x2−y2=3 and  xy=2

∴x=2 and y=1

⇒3+4i=2+i