Question

What is the square root of –16? –8i –4i 4i 8i

Answer 1

we know that

$i^{2} =-1$

we have

$\sqrt{-16} =\sqrt{(-1)*(16)} =\sqrt{(-1)*(4^{2})}$

substitute the value of $i^{2}=-1$ in the expression above

$\sqrt{(-1)*(4^{2})}=\sqrt{i^{2}*4^{2}} \\ \\= 4i$

therefore

the answer is

$4i$

Answer 2

The answer to your question is 4i.