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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!


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