Express the given complex number $3 (7 + i 7) + i (7 + i 7)$ in the form $a + i b$ ,

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Solution

$3 (7 + i 7) + i (7 + i 7) = 21 + i 21 + i 7 + i \times i 7$
As $i \times i = - 1$
$3 (7 + i 7) + i (7 + i 7) = 21 + i 21 + i 7 - 7$
$3 (7 + i 7) + i (7 + i 7) = 14 + i 28 = 14 + 28 i$

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a + i b :

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