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Which expression is a cube root of -1+ i sqrt 3? (multiple choice)

Which expression is a cube root of -1+ i sqrt 3? (multiple choice)-example-1

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Answer:

see below

Explanation:

Find the magnitude (-1)^2 + (sqrt3)^2 = m^2 m = 2

find the angle arctan (sqrt3/-1) = 120 degrees

the cube root would then be


\sqrt[3]{2}(cos 40 + isin 40)

User Rob Bonner
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