Question: "How do you calculate in, n∈R?" - Plainmath

Kristina Mcclain

Answered question

2022-02-01

How do you calculate

\sqrt[n]{i}, n \in R

?

Answer & Explanation

Jaiden Conrad

Beginner2022-02-02Added 14 answers

Step 1
The polar form of

z = i

is given by

z = 0 + i 1 = \cos (\frac{π}{2}) + i \sin (\frac{π}{2}) = e^{i \frac{π}{2}}

Now according to De Moivres

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