√(-3) × √(-3) = -3 why not 3

Question

√(-3) × √(-3) = -3

or

√(-3) × √(-3) = √(-3×-3)=√9=3

Answer 1

√(-3)=√(-1)√(3)

√(-1)=i

√(-3)√(-3)=√(-1)√(-1)√3√3=(√(-1))^2(3)=(-1)(3)=-3

the important concept is that (√(-1))^2=-1, not +1

another way to say this is that i^2=-1 !!