Least positive argument ofthe 4th root ofthe complex number `2-isqrt(12)` isA. `pi//6`B. `5pi//12`C. `7pi//12`D. `11pi//12`

Least positive argument ofthe 4th root ofthe complex number `2-isqrt(1

1.	Least positive argument ofthe 4th root ofthe complex number `2-isqrt(12)` isA. `pi//6`B. `5pi//12`C. `7pi//12`D. `11pi//12`
Answer» Correct Answer - B `(b)` `z^(4)=2(1-sqrt(3)i)=4((1)/(2)-(sqrt(3))/(2)i)` `=4[cos(-(pi)/(3))+isin(-(pi)/(3))]` `z=sqrt(2)[cos"(2mpi-(pi//3))/(4)+isin"(2mpi-(pi//3))/(4)]` For `m=1`, `z=sqrt(2)[cos((5pi)/(12))+isin((5pi)/(12))]`

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Least positive argument ofthe 4th root ofthe complex number `2-isqrt(12)` isA. `pi//6`B. `5pi//12`C. `7pi//12`D. `11pi//12`

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