Complex numbers simplify square roots of negative numbers

Lets do
[tex]\\ \sf\longmapsto \sqrt{-100}[/tex]
[tex]\\ \sf\longmapsto \sqrt{-(10)^2}[/tex]
[tex]\\ \sf\longmapsto \sqrt{10^2}\sqrt{-1}[/tex]
[tex]\\ \sf\longmapsto 10i[/tex]
Write in standard form
[tex]\\ \sf\longmapsto 10i[/tex]
[tex]\\ \sf\longmapsto \boxed{0}+\boxed{10}i[/tex]