Answer:
3[tex]\sqrt{5}[/tex] i
Step-by-step explanation:
Note [tex]\sqrt{-1}[/tex] = i
Given
[tex]\sqrt{-45}[/tex]
= [tex]\sqrt{9(5)(-1)}[/tex]
= [tex]\sqrt{9}[/tex] × [tex]\sqrt{5}[/tex] × [tex]\sqrt{-1}[/tex]
= 3[tex]\sqrt{5}[/tex] i
