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

Answer:

4i

Step-by-step explanation:

We have to find the value of $\sqrt{-16}$

We can write -16 = -1 × 16

$\sqrt{-1\times16}$

Now, use the rule $\sqrt{ab}=\sqrt a\times\sqrt b$

$\sqrt{-1}\times\sqrt{16}$

Now, we know that  $\sqrt{-1}=i$

Thus, we have

$i\times\sqrt{16}$

This, can be further simplified as 4i

Third option is correct.