quangvinhle077 quangvinhle077
  • 15-06-2021
  • Mathematics
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Tìm căn bậc hai của số phức z=1+i√3

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LammettHash
LammettHash LammettHash
  • 15-06-2021

Write z in polar form:

z = 1 + √3 i = 2 exp(i π/3)

Taking the square root gives two possible complex numbers,

√z = √2 exp(i (π/3 + 2kπ)/2)

with k = 0 and k = 1, so that

√z = √2 exp(i π/6) = √(3/2) + √(1/2) i

and

√z = √2 exp(i 7π/6) = -√(3/2) - √(1/2) i

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