Question

6 + 2i
what is the multiplicative inverse

Answer 1

the multiplicative inverse means if I multiply two numbers I get 1 because

\[x*\frac{ 1 }{ x } = \frac{ x }{ x } = 1\]

Answer 2

so the first step would be to find the multiplicative inverse that's easy it's just

\[\frac{ 1 }{ 6+2i }\]

now since this is a complex number we must multiply the top and bottom by the conjugate
and then simplify:

\[(\frac{ 1 }{ 6+2i })*(\frac{ 6-2i }{ 6-2i })\]

Answer 3

I'll stop here since this is sufficient to answer the question.

Answer 4

thank you