Cheexorgeny
2022-01-16
Rita Miller
Beginner2022-01-17Added 28 answers
Elaine Verrett
Beginner2022-01-18Added 41 answers
Step 1
Let's let
This is a complex number, and there are 2 ways we can write a complex number. The first is:
which separates its real and imaginary parts, and the second is its polar form:
The number we have been given is currently in the first form, but let’s put it into its polar form:
(note that r is a radius and is strictly positive, hence we pick the positive root)
The angle is given by:
So the polar form of the complex number
is:
Now let’s take the square root:
Recall that :
So if we apply these rules and compute
Now recall the beautiful Euler’s formula:
Therefore
alenahelenash
Expert2022-01-24Added 556 answers
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