Express the given complex number in the form | vedclass

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Question

(A) Given expression: $\left[\left(\frac{1}{3}+i \frac{7}{3}\right)+\left(4+i \frac{1}{3}\right)\right]-\left(-\frac{4}{3}+i\right)$ $= \left(\frac{1}

Vedclass · Accepted Answer

$\frac{17}{3}+i \frac{5}{3}$

Vedclass · Answer

(A) Given expression: $\left[\left(\frac{1}{3}+i \frac{7}{3}\right)+\left(4+i \frac{1}{3}\right)\right]-\left(-\frac{4}{3}+i\right)$ $= \left(\frac{1}{3}+4\right) + i\left(\frac{7}{3}+\frac{1}{3}\right) + \frac{4}{3} - i$ $= \left(\frac{1}{3}+4+\frac{4}{3}\right) + i\left(\frac{7}{3}+\frac{1}{3}-1\right)$ $= \left(\frac{1+12+4}{3}\right) + i\left(\frac{7+1-3}{3}\right)$ $= \frac{17}{3} + i \frac{5}{3}$

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

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