For \( z_{1}=\sqrt[6]{(1-i) /(1+i \sqrt{3})} ; z_{2}=\sqrt[6]{(1-i) /(\sqrt{3}+i)} \) \( z_{3}=\...
For \( z_{1}=\sqrt[6]{(1-i) /(1+i \sqrt{3})} ; z_{2}=\sqrt[6]{(1-i) /(\sqrt{3}+i)} \) \( z_{3}=\sqrt[6]{(1+i) /(\sqrt{3}-i)} \), prove that \( \left|z_{1}\right|=\left|z_{2}\right|=\left|z_{3}\right| \)
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