Express each of the following in the form (a + ib) and find its conjugate.
(i)
(ii) (2 + 3i)2
(iii)
(iv)
(v)
(vi)
(i) Let
⇒
(ii) Let z = (2 + 3i)2 = (2 + 3i)(2 + 3i)
= 4 + 6i + 6i + 9i2
= 4 + 12i + 9i2
= 4 + 12i - 9
= - 5 + 12i
(iii) Let
=
(iv) Let
(v) Let
(vi) Let