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AP EAMCET202422 May 2024Morning ShiftMathematicsComplex NumberActual

All the values of (8 i)^ 1 3 are

Options

  1. A( 3 +i),-2 i
  2. B3 +i,-2 i
  3. C3 -i,-2 i
  4. D(2+i), i

Correct answer

B. 3 +i,-2 i

Step-by-step solution

aligned & (8 i)^ 1 / 3 = (-8 i^3 )^ 1 / 3 =-2 i & i=e^ i 2 =e^ i 5 2 aligned (8 i)^ 1 / 3 =2 e^ i 6 =2 ( 3 2 + i 2 )= 3 +i(8 i)^ 1 / 3 =2 e^ i 5 6 =2 ( - 3 2 + i 2 )=- 3 +i(8 i)^ 1 / 3 = 3 +i,-2 i .

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