Answer:
6i[tex]\sqrt{2}[/tex]
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{-72}[/tex]
= [tex]\sqrt{36(2)(-1)}[/tex]
= [tex]\sqrt{36}[/tex] × [tex]\sqrt{2}[/tex] × [tex]\sqrt{-1}[/tex]
= 6[tex]\sqrt{2}[/tex] × i
= 6i[tex]\sqrt{2}[/tex]
