Roots of Complex Numbers
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Find the four roots of \(\sqrt 3 + i\)
\({z_1} = {2^{\dfrac{1}{4}}}cis\dfrac{\pi }{{24}}\)
\({z_2} = {2^{\dfrac{1}{4}}}cis\dfrac{{13\pi }}{{24}}\)
\({z_3} = {2^{\dfrac{1}{4}}}cis\left( {\dfrac{{ - 11\pi }}{{24}}} \right)\)
\({z_4} = {2^{\dfrac{1}{4}}}cis\left( {\dfrac{{ - 23\pi }}{{24}}} \right)\)
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