Question 667803
find the square root of (1-2 sq rt 2i)?
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{{{z = 1 - sqrt(8)i}}}
{{{Mag = sqrt(1 + 8) = 3}}}
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