Question:medium

One of the \(5^{\text{th}}\) roots of \(\omega\) is

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The \(n^{\text{th}}\) roots of \[ \operatorname{cis}\theta \] are \[ \boxed{ \operatorname{cis}\left(\frac{\theta+2k\pi}{n}\right), \qquad k=0,1,\ldots,n-1. } \] Always use this formula to find the roots of a complex number in polar form.
Updated On: Jul 18, 2026
  • \(\operatorname{cis}\left(\dfrac{4\pi}{3}\right)\)
  • \(\operatorname{cis}\left(\dfrac{7\pi}{15}\right)\)
  • \(\operatorname{cis}\left(\dfrac{11\pi}{15}\right)\)
  • \(\operatorname{cis}\left(\dfrac{9\pi}{15}\right)\)
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The Correct Option is A

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