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AP EAMCET202125 Aug 2021Evening ShiftMathematicsComplex NumberActual

Which of the following is a fourth root of 1 2 + i 3 2 ?

Options

  1. Acis 12
  2. Bcis 4
  3. Ccis 6
  4. Dcis 3

Correct answer

A. cis 12

Step-by-step solution

To Find 4th root of space 1 2 + i 3 2 aligned & Let Z= 1 2 +i 3 2 = 3 +i 3 & . =e^ i^ 3 e^ i = +i & z^ 1 4 = (e^ i 3 )^ 1 / 4 =e^ i / 12 or cis 12 & 4th root of z is cis 12 aligned

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