MethodError: no method matching ^(::QuadExpr, ::Float64)

[odow]

@Eric.O

@constraint(model, z[i] >= (x[i]^2 + y[i]^2)^0.5)

You need to write this as a conic constraint:

@constraint(model, [z[i], x[i], y[i]] in SecondOrderCone())