1146 Views

Least positive argument of the 4th root of the complex number 2i122i12 is


lucky sajith 23rd Mar, 2020
Answer (1)
Awanya Dabas 24th Mar, 2020

Hey!

Your question is a bit unclear. But here I'll show you how to solve these types of questions using some other example, and you can use it for your reference.

I'll find out the least positive argument of the 4th root of the complex number 2-isqrt(12)

Let z= 2-i sqrt(12)

z= 4 e^{i(-pi/3)}

z^4=  4 e^{i(-pi/3)}

So, the roots are sqrt(2)e^{i.-pi/12}, sqrt(2)e^{ i.5pi/12} , sqrt(2)e^{i. 11pi/12} and sqrt(2)e^{ i.17pi/12}

So, the least positive root is 5pi/12

Hope this answer helps!


Related Questions

UPES B.Tech Admissions 2026
Apply
Ranked #43 among Engineering colleges in India by NIRF | Highest Package 1.3 CR , 100% Placements
UPES Integrated LLB Admission...
Apply
Ranked #18 amongst Institutions in India by NIRF | Ranked #1 in India for Academic Reputation by QS Rankings | 16 LPA Highest CTC
Nirma University Law Admissio...
Apply
Grade 'A+' accredited by NAAC | Ranked 33rd by NIRF 2025
UPES M.Tech Admissions 2026
Apply
Ranked #45 Among Universities in India by NIRF | 1950+ Students Placed 91% Placement, 800+ Recruiters
UPES | BBA Admissions 2026
Apply
#36 in NIRF, NAAC ‘A’ Grade | 100% Placement, up to 30% meritorious scholarships
IMT Ghaziabad PGDM Admissions...
Apply
AACSB, NBA & SAQS Accredited | H-CTC 41.55 LPA | Merit Based Scholarship
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books