Question

Find the multiplicative inverse of √5+3i

Answer 1

your ans is 1..bcz with hlp of multiplicative invers we ger result 1

Answer 2

Multiplicative Inverse of
$\sqrt{5} + 3i \: is \\ \: \frac{1}{ \sqrt{5} + 3i} \\ now \: rationalised \: it \: \\ = \frac{1}{ \sqrt{5} + 3i} \times \frac{( \sqrt{5} - 3i)}{ \sqrt{5} - 3i } \\ = \frac{( \sqrt{5} - 3i) }{( { (\sqrt{5}) }^{2} - {(3i)}^{2} ) } \\ \\ = \frac{ \sqrt{5} - 3i }{5 + 9} \\ = \frac{ \sqrt{5} - 3i}{14} \\ = \frac{ \sqrt{5} }{14} - \frac{3i}{14} \\ multiplicative\: inverse \: of \\ ( \sqrt{5} + 3i) = \frac{ \sqrt{5} }{14} - \frac{3i}{14}$