Use De Moivre's Theorem to evaluate .
Find all fifth roots of .
$\k=0: \sqrt{5}\left(\cos10.63^\circ+i\sin10.63^\circ \right)=R_1\ k=1: \sqrt{5}\left(\cos82.63^\circ+i\sin82.63^\circ \right)=R_2\ k=2: \sqrt{5}\left(\cos154.63^\circ+i\sin154.63^\circ \right)=R_3\ k=3: \sqrt{5}\left(\cos226.63^\circ+i\sin226.63^\circ \right)=R_4\ k=4: \sqrt{5}\left(\cos298.63^\circ+i\sin298.63^\circ \right)=R_5$
$\k=0: \sqrt{5}\left(\cos53.13^\circ+i\sin53.13^\circ \right)=R_1\ k=1: \sqrt{5}\left(\cos125.13^\circ+i\sin125.13^\circ \right)=R_2\ k=2: \sqrt{5}\left(\cos197.13^\circ+i\sin197.13^\circ \right)=R_3\ k=3: \sqrt{5}\left(\cos269.13^\circ+i\sin269.13^\circ \right)=R_4\ k=4: \sqrt{5}\left(\cos341.13^\circ+i\sin341.13^\circ \right)=R_5$
\k=0: \sqrt[5]{5}\left (\cos10.63^\circ+i\sin10.63^\circ \right )=R_1\ k=1: \sqrt[5]{5}\left (\cos82.63^\circ+i\sin82.63^\circ \right )=R_2\ k=2: \sqrt[5]{5}\left (\cos154.63^\circ+i\sin154.63^\circ \right )=R_3\ k=3: \sqrt[5]{5}\left (\cos226.63^\circ+i\sin226.63^\circ \right )=R_4\ k=4: \sqrt[5]{5}\left (\cos298.63^\circ+i\sin298.63^\circ \right )=R_5
\k=0: \sqrt[5]{5}\left (\cos53.13^\circ+i\sin53.13^\circ \right )=R_1\ k=1: \sqrt[5]{5}\left (\cos125.13^\circ+i\sin125.13^\circ \right )=R_2\ k=2: \sqrt[5]{5}\left (\cos197.13^\circ+i\sin197.13^\circ \right )=R_3\ k=3: \sqrt[5]{5}\left (\cos269.13^\circ+i\sin269.13^\circ \right )=R_4\ k=4: \sqrt[5]{5}\left (\cos341.13^\circ+i\sin341.13^\circ \right )=R_5
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