Question

Choose the quadratic equation with a leading coefficient of 1 that has as solutions √(3)+2i√(5) and √(3)-2i√(5)

Answer 1

The quadratic equation for the given solution would be
(x−√3+2i√5)(x−√3−2i√5)
if you will expand it further you will get
x^2+x+5

and that will lead to the solution.