Find the multiplicative inverse of `7+24i`.

Explanation

Since `[(overline(x-iy))/(x^(2)+y^(2))]`= , it follows that the multiplicative inverse of `(x+iy) "is" ( overline(x-iy))/(x^(2)+y^(2))`
Hence the m9ultiplicative inverse of `7+24i` is `(overline(7-24i))/((7)^(2)+(24)^(2))=( overline(7-24i))/(49+75)=( overline(7-24i))/(625)`