Задание

Вычисли

  1. \(\left |\dfrac{4 - 3i}{3 + 4i}\right |\) ;

  2. \(\left |\dfrac{4 + 3i}{3 - 4i}\right |\) ;

  3. \(\left|\dfrac{2\sqrt{3} + 3i\sqrt{2}}{3\sqrt{2} - 2i\sqrt{3}}\right |\) ;

  4. \(\left|\dfrac{3\sqrt{5} + 5i\sqrt{3}}{5\sqrt{3} - 3i\sqrt{5}}\right |\) ;

  5. \(\left|\left(\dfrac{\sqrt[5]{5} + i}{1 - i \sqrt[5]{5}}\right)^5\right |\) ;

  6. \(\left|\left(\dfrac{\sqrt[6]{6} - i}{1 + i \sqrt[6]{6}}\right )^6\right |\) .

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