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The three cube roots of the complex number - 1 0 8
Undergraduate
The three cube roots of the complex number - 1 0 8 - 1 0 8 i 3 can be written in the form r
The three cube roots of the complex number
-
1
0
8
-
1
0
8
i
3
can be written in the form r
(
cos
(
)
+
i
sin
(
)
.
Find r
,
and find the three values of where
0
<
3
6
0
.
List the values of in increasing order. Answer exactly.
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