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Q.

Find the root of a complex number Question Image.


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a

Question Image

b

Question Image

c

Question Image

d

Question Image 

answer is A.

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Detailed Solution

Concept- To begin, we will assume the square root of the given complex number. Then, on both sides, we square them and compare the real and imaginary parts. To obtain the required result, we perform the necessary substitutions and calculations involving the real and imaginary parts of the square root.
Question ImageOn squaring both side, we get
Question ImageNow on comparing, we get
Question Image Question Image so Question ImageOn solving the above equation, we get
Question Image or Question ImageSo Question Image or Question ImageSo Question Image or Question ImageHence, the correct option 1.
 
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