\( \sqrt[3]{ - \left \{ \frac{10}{27} - \sqrt{ \frac{4}{27} } \right \} } \cdot \, e^{i \frac{\pi}{3} } + \sqrt[3]{ \frac{10}{27} + \sqrt{ \frac{4}{27} } } \cdot \, e^{i \frac{2 \pi}{3}} \)
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\( \sqrt[3]{ - \frac{10}{27} + \sqrt{ \frac{4}{27} } } \cdot \, (\frac{1}{2} + \frac{1}{2} i \sqrt{3}) + \sqrt[3]{ \frac{10}{27} + \sqrt{ \frac{4}{27} } } \cdot \, ( - \frac{1}{2} + \frac{1}{2} i \sqrt{3}) \)
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\( \sqrt[3]{ - \frac{10}{27} + \sqrt{ \frac{4 \cdot 3}{81} } } \cdot \, (\frac{1}{2} + \frac{1}{2} i \sqrt{3}) + \sqrt[3]{ \frac{10}{27} + \sqrt{ \frac{4 \cdot 3}{81} } } \cdot \, ( - \frac{1}{2} + \frac{1}{2} i \sqrt{3}) \)
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\( \sqrt[3]{ - \frac{10}{27} + \frac{2}{9} \sqrt{3}} \cdot \, (\frac{1}{2} + \frac{1}{2} i \sqrt{3}) + \sqrt[3]{ \frac{10}{27} + \frac{2}{9} \sqrt{3}} \cdot \, ( - \frac{1}{2} + \frac{1}{2} i \sqrt{3}) \)
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\( \sqrt[3]{ - \frac{10}{27} + \frac{6}{27} \sqrt{3}} \cdot \, (\frac{1}{2} + \frac{1}{2} i \sqrt{3}) + \sqrt[3]{ \frac{10}{27} + \frac{6}{27} \sqrt{3}} \cdot \, ( - \frac{1}{2} + \frac{1}{2} i \sqrt{3}) \)
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\( \frac{1}{3} \, \sqrt[3]{ - 10 + 6 \sqrt{3}} \cdot \, (\frac{1}{2} + \frac{1}{2} i \sqrt{3}) + \frac{1}{3} \, \sqrt[3]{ 10 + 6 \sqrt{3}} \cdot \, ( - \frac{1}{2} + \frac{1}{2} i \sqrt{3}) \)
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\( \frac{1}{6} \, \sqrt[3]{ - 10 + 6 \sqrt{3}} \cdot \, (1 + i \sqrt{3}) + \frac{1}{6} \, \sqrt[3]{ 10 + 6 \sqrt{3}} \cdot \, ( - 1 + i \sqrt{3}) \)
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\( \mathrm{A} + \mathrm{B} \, i \,\,\,\,\,\, \mbox{met:} \)
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\( \mathrm{A} \,\, = \,\, \frac{1}{6} \, \sqrt[3]{ - 10 + 6 \sqrt{3}} \,\,\, - \,\,\, \frac{1}{6} \, \sqrt[3]{ 10 + 6 \sqrt{3}} \)
\( \mathrm{A} \,\, = \,\, \frac{1}{6} \, \left ( \sqrt[3]{ - 10 + 6 \sqrt{3}} \,\, - \,\, \sqrt[3]{ 10 + 6 \sqrt{3}} \right ) \)
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\( \mathrm{B} \,\, = \,\, \frac{1}{6} \, \sqrt{3} \, \sqrt[3]{ - 10 + 6 \sqrt{3}} \,\,\, + \,\,\, \frac{1}{6} \, \sqrt{3} \, \sqrt[3]{ 10 + 6 \sqrt{3}} \)
\( \mathrm{B} \,\, = \,\, \frac{1}{6} \, \sqrt{3} \, \left ( \sqrt[3]{ - 10 + 6 \sqrt{3}} \,\, + \,\, \sqrt[3]{ 10 + 6 \sqrt{3}} \right ) \)
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En nu?