SOLUTION: find the square root of (1-2 sq rt 2i)?

Question 667803: find the square root of (1-2 sq rt 2i)?
Found 2 solutions by Alan3354, MathLover1:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
find the square root of (1-2 sq rt 2i)?
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Angle = atan(sqrt(8)) =~ 70.5288
z = 3cis(70.5288)
sqrt(z) = sqrt(3)cis(35.2644)
sqrt(z) = sqrt(3)*sqrt(2/3) + i*sqrt(3)*sqrt(1/3)
= sqrt(2) + i

Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

...........since , we have

..........since , we have

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