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Question Number 35478 by 7991 last updated on 19/May/18

$$\sqrt[5]{3\sqrt{2}(2-i)}=...??$$

Commented by MJS last updated on 19/May/18

$$\mathrm{these}\mathrm{are}\mathrm{all}\mathrm{the}\mathrm{same}$$$$z=a+b\mathrm{i}=r{\mathrm{e}}^{\phi \mathrm{i}}=r\cos \left(\phi \right)+r\sin \left(\phi \right)\mathrm{i}$$$$z^{\frac{p}{q}}=r^{\frac{p}{q}}{\mathrm{e}}^{\frac{q\phi }{p}\mathrm{i}}=r^{\frac{p}{q}}\cos \left(\frac{q\phi }{p}\right)+r^{\frac{p}{q}}\sin \left(\frac{q\phi }{p}\right)\mathrm{i}$$

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