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Question
Find the multiplicative inverse of the complex number.
`sqrt5 + 3i`
Solution
Multiplicative inverse of `sqrt5 + 3i`
= `1/(sqrt5 + 3i) = 1/(sqrt5 + 3i) xx (sqrt5 - 3i)/ (sqrt5 - 3i)`
= `(sqrt5 - 3i)/(5 - 9i^2)`
= `(sqrt5 - 3i)/(5 +9)`
= `(sqrt(5) - 3i)/14`
= `sqrt5/14 - 3/14 i`
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