Evaluate: $3 (7 + i 7) + i (7 + i 7)$

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Solution

Let $Z = 3 (7 + i 7) + i (7 + i 7)$

$= 21 + 21 i + 7 i + 7 i^{2}$ $[i^{2} = - 1]$

$= 21 - 7 + 28 i$

$Z = 14 + 28 i$ .

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