Question

find the multicative inverse of 3+2i

Answer 1

z = 3+2i

To find multiplicative inverse

z = 1/z-¹

z-¹ = 1/z

= 1/ (3+2i)

By rationalising

z-¹ = 3-2i/ 9-4i²

= (3-2i) / 9-4 (-1) (.: i² =-1)

= (3-2i) / 9+4

= (3-2i) /13

= (3/13) - (2/13)i

This the multiplicative inverse.

Hope it will help you