Question

What is the square root of –16?

–8i

–4i

4i

8i

Answer 1

The answer to your question is 4i.

Answer 2

we know that

`i^(2) =-1`

we have

`√(-16) =√((-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`