Respuesta :

The answer to your question will be 4 i

Answer:

[tex]\boxed{\bold{4i}}[/tex]

Step By Step Explanation:

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

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

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

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

[ Step Three ] Simplify [tex]\bold{\sqrt{16}}[/tex]

[tex]\bold{\sqrt{16}: \ 4}[/tex]

[ Step Four ] Rewrite Equation

[tex]\bold{4i}[/tex]