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2 years ago

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

Mathematics

1 answer:

lara31 [8.8K]2 years ago

6 0

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

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

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