Complex Numbers And Quadratic Equations question 290
Question: The value of (8)1/3 is [RPET 2003]
Options:
A) $ -1+i\sqrt{3} $
B) $ -1-i\sqrt{3} $
C) 2
D) All of these
Show Answer
Answer:
Correct Answer: D
Solution:
$ {{(8)}^{1/3}}=x\Rightarrow x^{3}-8=0 $
Þ $ (x-2)(x^{2}+2x+4)=0 $ .
Þ $ x=2,2\omega ,2{{\omega }^{2}} $ or $ x=2,-1+i\sqrt{3},-1-i\sqrt{3} $ .
BETA
