SOLUTION: what is the multiplicative inverse of
3+5i
8
Algebra.Com
Question 420562: what is the multiplicative inverse of
3+5i
8
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
I'm a little confused by the 8? I'm assuming that it is a typo.
The multiplicative inverse of 3+5i is what you misgh expect it to be:
However this is not the proper form. We want something in the standard form:
a + bi
where a and b are real numbers.
To put
Multiplying the numerator is simple. To multiply the denominator we can use FOIL or the pattern. I prefer using the pattern:
which simplifies as follows:
(since )
For standard form we need to split up this fraction:
or
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