Respuesta :

If we simplify √-80 you get 4i√5

Answer:

[tex]\sqrt{-80}=4i \sqrt{5}[/tex]

Step-by-step explanation:

We know that [tex]\sqrt{-1}=i[/tex]

Here we need to find [tex]\sqrt{-80}[/tex]

Let us simplify

          [tex]\sqrt{-80}=\sqrt{-1\times 80}=\sqrt{-1}\times \sqrt{80}=i\sqrt{16\times 5}\\\\\sqrt{-80}=i\times \sqrt{16}\times \sqrt{5}=i\times 4\times \sqrt{5}=4i \sqrt{5}\\\\\sqrt{-80}=4i \sqrt{5}[/tex]

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