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13-05-2022
Mathematics

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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 class=

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jsimpson11000 jsimpson11000

13-05-2022

Answer:

see below

Step-by-step 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

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

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