Question 93427
{{{-sqrt(3)*sqrt (-3)}}} Start with the given expression

{{{-sqrt (-3*3)}}} Combine the roots using the identity {{{sqrt(x)*sqrt(y)=sqrt(x*y)}}}


{{{-sqrt (-9)}}} Multiply


Now lets focus on {{{sqrt (-9)}}}


*[invoke simplifying_square_roots -9]


So {{{-sqrt (-9)=-3i}}} (just reintroduce the negative back in)