Answer:
C
Step-by-step explanation:
Imaginary Number [tex]i[/tex] is defined as the square root of [tex]-1[/tex]
We can write: [tex]i=\sqrt{-1}[/tex]
Now, we want to simplify [tex]\sqrt{-28}[/tex]
We can use the formula [tex]\sqrt{(a)(b)} =\sqrt{a} \sqrt{b}[/tex] to simplify it further:
[tex]\sqrt{-28} \\=\sqrt{(-1)(28)} \\=\sqrt{-1} \sqrt{28}[/tex]
Using the fact that [tex]i=\sqrt{-1}[/tex] , we can write:
[tex]i\sqrt{28}[/tex]
This is answer choice C.
