Respuesta :
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]