Question

The equivalent expression for $-7-\sqrt{-36}$ is

• A. $-7-6i$
• B. $-7+6i$
• C. $-7-i\sqrt{6}$

Answer 1

The correct option is A $-7-6i$

Since the square root of negative numbers are imaginary numbers and here
$\sqrt{-36}=\sqrt{6\times 6\times -1}=\sqrt{6^2}\times \sqrt{-1}=\mathrm{6i}$

$\therefore -7-\sqrt{-36}=-7-6i$