we are given
[tex] \sqrt{-100} [/tex]
we know that
[tex] -1=i^2 [/tex]
now, we can replace -1
[tex] \sqrt{-100} =\sqrt{-1*100} [/tex]
[tex] \sqrt{-100} =\sqrt{i^2*100} [/tex]
[tex] \sqrt{-100} =\sqrt{i^2}*\sqrt{100} [/tex]
[tex] \sqrt{-100} =10i [/tex]
we can add 0
it does not affect
so, we get
[tex] \sqrt{-100} =0+10i [/tex]..............Answer
