Find the cube roots of the number z=1+i and represent them in the complex name.
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Answer:
find a cubic root (or generally root of degree
n
) you have to use de'Moivre's formula:
z
1
n
=
|
z
|
1
n
⋅
(
cos
(
ϕ
+
2
k
π
n
)
+
i
sin
(
ϕ
+
2
k
π
n
)
)
for
k
∈
{
0
,
1
,
2
,
...
,
n
−
1
}
From tis formula you can see, that every complex number has
n
roots of degree
n
So to calculate root of a complex number you first have to write the number in a trigonometric form
Step-by-step explanation:
hope this helps you thanku please mark me as brilliant please
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