Question 87843
{{{sqrt(-121)}}}


{{{sqrt(-1*121)}}} Factor out a negative 1


{{{sqrt(-1)*sqrt(121)}}} Break up the square roots using the identity {{{sqrt(x*y)=sqrt(x)*sqrt(y)}}}


Since {{{i=sqrt(-1)}}} replace {{{sqrt(-1)}}} with {{{i}}}


{{{i*sqrt(121)}}}


{{{i*11}}} take the square root of 121


{{{11i}}} Rearrange


So {{{sqrt(-121)=11i}}}