11TH•Mathematics•Complex Numbers•Question 7

Solution

Find the square root of the following complex numbers:

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Use the standard form. If $z=x+iy$ and $y\neq 0$ then:

\sqrt{z}=\pm\left(\sqrt{\frac{|z|+x}{2}}+i\,\operatorname{sgn}(y)\sqrt{\frac{|z|-x}{2}}\right)

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