Answer :
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
Step-by-step answer:
sqrt(-18)
= sqrt((-1)*(9)*(2)
= sqrt((-1))*sqrt(9)*sqrt(2)
= i*3*sqrt(2)
=3i*sqrt(2)