Respuesta :

Notice that:

[tex]-8=4\cdot2\cdot(-1)[/tex]

Therefore:

[tex]8+\sqrt[]{-8}=8+\sqrt[]{4\cdot2(-1)}=8+2\sqrt[]{2}i.[/tex]

Answer:

[tex]8+2\sqrt[]{2}i\text{.}[/tex]