Question

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

Answer 1

It's 4 ..because no matter if it positive or negative 16, the square root will always be 4

Answer 2

4i

Explanation:

We have to find the value of
`√(-16)`

We can write -16 = -1 × 16

`√(-1*16)`

Now, use the rule
`√(ab)=\sqrt a*\sqrt b`

`√(-1)*√(16)`

Now, we know that
`√(-1)=i`

Thus, we have

`i*√(16)`

This, can be further simplified as 4i

Third option is correct.