Q1 of 202 Page 188

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









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