Chabyamuter Chabyamuter
  • 21-10-2016
  • Mathematics
contestada

What is the multiplicative inverse of 6 + 2i?

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syed514
syed514 syed514
  • 30-10-2016
We have to multiply (6 + 2i) with its conjugate:
(6 + 2i) (6 - 2i) = 36-12i+12i-4i^2
As i^2= -1 . So , 
                        = 36+4
                        = 40
So 40 +is the correct answer.

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nobillionaireNobley
nobillionaireNobley nobillionaireNobley
  • 01-11-2016
The product of a number and it multiplicative inverse is 1. Let the multiplicative inverse of 6 + 2i be x. Then
x(6 + 2i) = 1
x = 1/(6 + 2i) = (6 - 2i)/(6 + 2i)(6 - 2i) = (6 - 2i)/(36 - 12i + 12i + 4) = (6 - 2i)/40
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