Answer:
2nd option
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex] and [tex]\sqrt{-1}[/tex] = i
Simplifying the radical
[tex]\sqrt{-80}[/tex]
= [tex]\sqrt{16(5)(-1)}[/tex]
= [tex]\sqrt{16}[/tex] × [tex]\sqrt{5}[/tex] × [tex]\sqrt{-1}[/tex]
= 4 × [tex]\sqrt{5}[/tex] × i
= 4i[tex]\sqrt{5}[/tex]
Then
6 + [tex]\sqrt{-80}[/tex]
= 6 + 4i[tex]\sqrt{5}[/tex]
