Respuesta :

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

Answer:

4i

Step-by-step explanation:

We have to find the value of [tex]\sqrt{-16}[/tex]

We can write -16 = -1 × 16

[tex]\sqrt{-1\times16}[/tex]

Now, use the rule [tex]\sqrt{ab}=\sqrt a\times\sqrt b[/tex]

[tex]\sqrt{-1}\times\sqrt{16}[/tex]

Now, we know that  [tex]\sqrt{-1}=i[/tex]

Thus, we have

[tex]i\times\sqrt{16}[/tex]

This, can be further simplified as 4i

Third option is correct.