Question

Express each of the following in the form (a + ib) and find its conjugate:
`{:((i),(1)/((4+3i)),(ii),(2+3i)^(2),(iii),((2-i))/((1-2i)^(2))),((iv),((1+i)(1+2i))/((1+3i)),(v),((1+2i)/(2+i))^(2),(vi),((2+i))/((3-i)(1+2i))):}`

Answer 1

Correct Answer - `{:((i),z=((4)/(25)-(3)/(25)i)","bar(z)=((4)/(25)+(3)/(25)i),(ii),z=(-5+12i)","bar(z)=(-5-12i)),((iii),z=((-2)/(25)+(11)/(25)i)","bar(z)=((-2)/(25)-(11)/(25)i),(iv),z=((4)/(5)+(3)/(5)i)","bar(z)=((4)/(5)-(3)/(5)i)),((v),z=((7)/(25)+(24)/(25)i)","bar(z)=((7)/(25)-(24)/(25)i),(vi),z=(-1+i)","z^(-1)=((-1)/(2)-(1)/(2)i)):}`