[tex]3 \sqrt{-100} = 3 \sqrt{(100)(-1)}[/tex]
[tex]= (3)(10) \sqrt{-1} [/tex]
=[tex]30 \sqrt{-1} [/tex]
[tex] \sqrt{-1} = i[/tex]
=30i
30i is an imaginary number, so we can not determine between what consecutive integers it lies.
In a real numbers, it does not exist.
