Respuesta :

The answer to your question is 4i.
calculista

we know that

[tex]i^{2} =-1[/tex]

we have

[tex]\sqrt{-16} =\sqrt{(-1)*(16)} =\sqrt{(-1)*(4^{2})}[/tex]

substitute the value of [tex]i^{2}=-1[/tex] in the expression above

[tex]\sqrt{(-1)*(4^{2})}=\sqrt{i^{2}*4^{2}} \\ \\= 4i[/tex]

therefore

the answer is

[tex]4i[/tex]


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