InterviewSolution
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InterviewSolution
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Which of the following is equal to `root(3)(-1)?`A. `(sqrt(3)+sqrt(-1))/( 2)`B. `(-sqrt(3)+sqrt(-1))/(sqrt(-4))`C. `(sqrt(3)-sqrt(-1))/(sqrt(-4))`D. `-sqrt(-1)` |
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Answer» Correct Answer - B `x =root(3)(-1)` `rArr x^(3)=-1` `rArr -x^(3)=1` `rArr-x=1,omega,omega^(2)` ltbgt `rArr x=-1,-omega,-omega^(2)` `=-1,(1+sqrt3i)/(2),(1-sqrt3i)/(2)` `=-1,(-sqrt3+i)/(2i),(sqrt3+i)/(2i)` `=-1,(-sqrt3+sqrt(-1))/(sqrt(-4)),(sqrt(3)+(sqrt(-1)))/(sqrt(-4))` |
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