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Complex Numbers — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsComplex Numbers2 Marks
MCQ
The value of $(8)^{1 / 3}$ is
  • A
    $-1+i \sqrt{3}$
  • B
    $-1-i \sqrt{3}$
  • C
    2
  • ✓
    All of these
✓

Answer

Correct option: D.
All of these
(D)
Let $(8)^{1 / 3}=x \Rightarrow x^3-8=0$
$\Rightarrow(x-2)\left(x^2+2 x+4\right)=0$
$\Rightarrow x=2,2 \omega, 2 \omega^2$
$\Rightarrow x=2,-1+ i \sqrt{3},-1- i \sqrt{3}$

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