Respuesta :

Step-by-step answer:

sqrt(-18)

= sqrt((-1)*(9)*(2)

= sqrt((-1))*sqrt(9)*sqrt(2)

= i*3*sqrt(2)

=3i*sqrt(2)

Answer:

C

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

Given

[tex]\sqrt{-18}[/tex]

= [tex]\sqrt{9(2)(-1)}[/tex]

= [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex] × [tex]\sqrt{-1}[/tex]

= 3 × [tex]\sqrt{2}[/tex] × i

= 3i[tex]\sqrt{2}[/tex] → C

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