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.
