Answer:
Final simplified form is [tex]5\sqrt{5}i[/tex]
Step-by-step explanation:
We have been given an expression [tex]\sqrt{-125}[/tex]
Now we need to simplify [tex]\sqrt{-125}[/tex] and check which choice matches with simplified form of [tex]\sqrt{-125}[/tex].
You missed to provide the choices but still we simplify that.
[tex]\sqrt{-125}[/tex]
[tex]=\sqrt{-5*5*5}[/tex]
[tex]=5\sqrt{-5}[/tex]
When there is negative sign inside square root then we replace that by "i" iota.
[tex]=5\sqrt{5}i[/tex]
Hence final simplified form is [tex]5\sqrt{5}i[/tex]
