If the utility function u(x1,x2) =min(x1,x2) represents a consumer's preferences, then another utility function,v(x1,x2) = min(x1,x2)+ 2 also represents her preferences
True.
U(x1,x2) and V(x1,x2) will represent the same preferences, since the operations of taking square root, adding a constant and taking the square of a function are all monotone transformations.