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Powers and Roots of Complex Numbers

Video Summary:

De Moivre’s Theorem If r(cos  + i sin ) is a complex number, and n is any real number. nth Root For a positive integer n, the complex number a+bi is the nth of the complex number x + yi if (a + bi)n = x + yi. nth Root Theorem If n is any positive integer, r is a positive real number, and  is in degrees, then the nonzero complex number r(cos  + i sin  ) has exactly n distinct nth roots



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