The expression is given to be:
[tex]\sqrt{-36}[/tex]
Apply the radical rule:
[tex]\sqrt{-a}=\sqrt{-1}\sqrt{a}[/tex]
Therefore, the expression becomes:
[tex]\sqrt{-36}=\sqrt{-1}\sqrt{36}[/tex]
Recall the imaginary number rule:
[tex]\sqrt{-1}=i[/tex]
Therefore, the expression becomes:
[tex]=i\sqrt{36}[/tex]
Simplify:
[tex]=6i[/tex]
The correct option is OPTION C.
