Question Number 14046 by RasheedSindhi last updated on 27/May/17
$$\mathrm{Calculate}:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\sqrt{\omega} \\ $$
Answered by prakash jain last updated on 27/May/17
$${w}={e}^{\mathrm{2}\pi{i}/\mathrm{3}} \\ $$$${w}^{\mathrm{1}/\mathrm{2}} ={e}^{\mathrm{2}\pi{ki}/\mathrm{6}} \:,{k}\in\left\{\mathrm{0},\mathrm{1}\right\} \\ $$
Answered by ajfour last updated on 27/May/17
$$\omega={e}^{\left(\mathrm{2}{i}\pi/\mathrm{3}+\mathrm{2}{k}\pi\right)} \\ $$$$\sqrt{\omega}=\omega^{\mathrm{2}} \:. \\ $$