Question

What is the square root of –16?

Answer 1

The answer to your question will be 4 i

Answer 2

Answer:

$\boxed{\bold{4i}}$

Step By Step Explanation:

[ Step One ] Apply Radical Rule $\bold{\sqrt{-a}=\sqrt{-1}\sqrt{a}: \ \sqrt{-16}=\sqrt{-1}\sqrt{16}}$

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

[ Step Two ] Apply Imaginary Number Rule: $\bold{\sqrt{-1}=i}$

$\bold{\sqrt{16}i}$

[ Step Three ] Simplify $\bold{\sqrt{16}}$

$\bold{\sqrt{16}: \ 4}$

[ Step Four ] Rewrite Equation

$\bold{4i}$