Answer:
[tex]\boxed{6\sqrt{2 i}}[/tex]
Explanation:
[tex]\sqrt{-72}=\sqrt{-1}=\sqrt{72}[/tex]
[tex]\sqrt{-1} \sqrt{72}[/tex]
Then you apply imaginary number rule.
[tex]\sqrt{72 i }[/tex]
[tex]\sqrt{72}=6\sqrt{2}[/tex]
[tex]\boxed{6\sqrt{2 i}}\checkmark[/tex], which is our final answer.
Hope this helps!
Thanks!
Have a nice day! :)
-Charlie