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

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Solution

Given, $3 (7 + 7 i) + i (7 + i 7)$
$= 21 + 21 i + 7 i + 7 i^{2}$
$= 21 + 28 i + 7 \times (- 1), [∵ i^{2} = - 1]$
$= 14 + 28 i = a + i b$ ,
where $a = 14, b = 28$

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