Question

Express each of the following in the form (a + ib) and find its multiplicative inverse :
(i) `(1+2i)/(1-3i)`
(ii) `((1+7i))/((2-i)^(2))`
(iii) `(-4)/((1+i sqrt(3)))`

Answer 1

Correct Answer - `{:((i),z=((-1)/(2)+(1)/(2)i)","z^(-1)=(-1-i),(ii),z=(-1+i)","z^(-1)=((-1)/(2)-(1)/(2)i)),((iii),z=(-1+i sqrt(3))","z^(-1)=((-1)/(4)-(sqrt(3))/(4)i),,):}`