Answer:
[tex]12i\sqrt{11}[/tex]
Step-by-step explanation:
Simplify:
Split the radical into two factors with a perfect square as at least one factor
[tex]4\sqrt{9} \sqrt{-11}[/tex]
Evaluate the perfect square
[tex]4(3)\sqrt{-11}[/tex]
[tex]12\sqrt{-11}[/tex]
Since we cannot have a negative in a radical we need to factor out [tex]\sqrt{-1}[/tex] which is represented as [tex]i[/tex]
[tex]12i\sqrt{11}[/tex]
