1123 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

Amity University, Noida Law A...
Apply
Admissions open for B.A. LL.B (Hons) , B.A. LL.B , BBA LL.B.(Hons) , B.Com.LL.B. (Hons.)
Jindal Global Law School Admi...
Apply
Ranked #1 Law School in India & South Asia by QS- World University Rankings | Merit cum means scholarships | Application Deadline: 31st Jan'25
TAPMI Jaipur MBA Admissions 2025
Apply
67 Years of Established Legacy | Ranked #79 in India by NIRF | Among the only few top 100 B-Schools currently accepting applications
UPES Integrated LLB Admission...
Apply
Ranked #28 amongst Institutions in India by NIRF | Ranked #1 in India for Academic Reputation by QS University Rankings | 16.6 LPA Highest CTC
Chandigarh University Admissi...
Apply
Ranked #1 Among all Private Indian Universities In QS Asia Rankings 2025 | Scholarships worth 210 CR
Great Lakes PGPM & PGDM 2025
Apply
Admissions Open | Globally Recognized by AACSB (US) & AMBA (UK) | 17.3 LPA Avg. CTC for PGPM 2024 | Application Deadline: 1st Dec 2024
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