Question

Express the given complex number in the form \(a + ib: [(\dfrac{1}{3}+i\dfrac{7}{3})+(4+i\dfrac{1}{3})]-(-\dfrac{4}{3}+i)\)

Answer 1

\([(\dfrac{1}{3}+i\dfrac{7}{3})+(4+i\dfrac{1}{3})]-(-\dfrac{4}{3}+i)\)

\((\dfrac{1}{3}+4+\dfrac{4}{3}) +i(\dfrac{7}{3}+\dfrac{1}{3}-1)  \)

\(=\dfrac{17}{3}+\dfrac{5}{3}i \)  (Ans)