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.
