Question

Simplify the given and express in the form of a + ib.
$3+\sqrt{-64}$

Answer 1

We know that

$\sqrt{ - 1} = i \\ \\ so \: here \\ \\ 3 + \sqrt{ - 64} \\ \\ = 3 + \sqrt{ - ( {8)}^{2} } \\ \\ = 3 + 8 \sqrt{ - 1} \\ \\ = 3 + 8i \\ \\ a + ib = 3 + 8i \\ \\ a = 3 \\ \\ b = 8$
Hope it helps you.