Math Video Library Collection

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