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
(d)${(8)^{1/3}} = x \Rightarrow {x^3} - 8 = 0$
==> $(x - 2)\,({x^2} + 2x + 4) = 0$.
==> $x = 2,\,2\omega ,\,2{\omega ^2}$ or $x = 2,\, - 1 + i\sqrt 3 ,\, - 1 - i\sqrt 3 $.
(d)${(8)^{1/3}} = x \Rightarrow {x^3} - 8 = 0$
==> $(x - 2)\,({x^2} + 2x + 4) = 0$.
==> $x = 2,\,2\omega ,\,2{\omega ^2}$ or $x = 2,\, - 1 + i\sqrt 3 ,\, - 1 - i\sqrt 3 $.
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