Question

Express the given complex number in the form $a+ib:3(7+7i)+i(7+i7)$.

Answer 1

Express in standard complex number form:

The standard expression of complex number is,

$a+ib$

The given expression is,

$3(7+7i)+i(7+i7)$

Simplify this expression to get,

$\Rightarrow 21+21i+7i+7i^2$

$\Rightarrow 21+28i-7$ [since $i^2=-1$]

$\Rightarrow 14+28i$

Hence, the given complex number can be written as $14+28i$.