If α and β(α<β) are the roots of the equation (-2+√ 3 )(|√ x -3|)+(x-6 √ x )+(9-2 √ 3 )=0, x ≥ 0, then √((β)/(α))+√(α β) is equal to:

If $\displaystyle \alpha$ and $\displaystyle \beta(\alpha<\beta)$ are the roots of the equation $\displaystyle (-2+\sqrt{3})(|\sqrt{x}-3|)+(x-6 \sqrt{x})+(9-2 \sqrt{3})=0, x \geqslant 0$, then $\displaystyle \sqrt{\frac{\beta}{\alpha}}+\sqrt{\alpha \beta}$ is equal to :