Question

find the multiple inverse of 4-3i

Answer 1

multiple inverse of 4-3i is 1/4-3i

Answer 2

$\large\bold{\underline{\underline {Question: -}}}$

• find the multiple inverse of 4-3i

$\large\bold{\underline{\underline {Answer : -}}}$

Multiplcative inverse of 4-3i

$\\ = \tt\frac{1}{4 - 3i} \times \frac{4 + 3i}{4 + 3i}$

$\\ = \tt\frac{1}{4 - 3i} \times \frac{4 + 3i}{4 + 3i}$

$\\ \tt \frac{4 + 3i}{ {(4)}^{2} - {(3i)}^{2} } = \frac{4 + 3i}{16 - 9 {i}^{2} } = \frac{4 + 3i}{16 - 9 \times - 1}$

$\\ = \tt \: \frac{4 + 3i}{16 + 9} = \frac{4 + 3i}{25}$