Вычислите $ \sqrt[4]{-8 - 8\sqrt{3}i} $

$
\sqrt[4]{-8 - 8\sqrt{3}i}
\\\\
\sqrt[4]{z} = \sqrt[4]{|z|} * (\cos{\frac{\phi + 2\pi * k}{4}} + i\sin{\frac{\phi + 2\pi * k}{4}}), k = 0, 1, 2, 3
\\\\
|z| = \sqrt{64 + 192} = 16
\\\\
\phi = arctg{\frac{- 8\sqrt{3}}{-8}} = \frac{4\pi}{3}
\\\\
\text{Ответ: }
k = 0: 2 * (\cos{\frac{\pi}{3}} + i\sin{\frac{\pi}{3}}) = 1 + \sqrt{3}
\\\\
k = 1: 2 * (\cos{\frac{5\pi}{6}} + i\sin{\frac{5\pi}{6}}) = -\sqrt{3} + 1
\\\\
k = 2: 2 * (\cos{\frac{4\pi}{3}} + i\sin{\frac{4\pi}{3}}) = -1 - \sqrt{3}
\\\\
k = 3: 2 * (\cos{\frac{11\pi}{6}} + i\sin{\frac{11\pi}{6}}) = \sqrt{3} - 1
$