Pls share ur ideas i am trying to find the square root of e^2/3pi and answer is given in text as e^(pi/3)i,e^(4pi/3),i dont understand hw is possible to get e^4pi/3,i am getting e^2pi/3 pls explain
Here is a couple of simple observations.
If is one square root of a complex number then is the other.
For any real number ,
Thus it ought be clear to you that .
Thus you have one root: .
What is the other one?
sure i will try my best next time to make it more reader friendly.so u r implying my answer exp(i pi/3) and exp(-2 pi/3) is the sqrt of exp(2 pi/3) then frm were do we get exp(4 pi/3),that one of the sqrt given along with exp(i pi/3)
Frankly, I will do it. Why don't you learn to post in LaTeX?
You have already been told that if are two principal square roots of then
So, frankly I don't see what you are calling is a mistake. We are not here to teach you the subject matter.
Thus if you need more help, learn to post readable symbols.
why are you adding (pi)/3 to pi to find your next argument iwould have subtracted pi
pi radians - 180 degrees
i got one argument as 60 degrees so the next square root argument should be 60-180= -120 degrees since agrument should be frm -180 to +180, but you have added 180 degrees which will be 240 degrees which outside our range -180 to +180
I request your comment
After all, .
I will say in programming a computer algebra system to display the complex roots it is a lot easier to do it the way I posted. In fact that is exactly the reason I use that standard.