ve2v94y3ja ve2v94y3ja
  • 13-05-2022
  • Mathematics
contestada

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=

Respuesta :

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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