If \(\alpha\) and \(\beta (\alpha then \(\sqrt{\frac{\beta }{\alpha }}+\sqrt{\alpha \beta }\) is equal to: [JEE Main 202…

If \(\alpha\) and \(\beta (\alpha <\beta )\) are the roots of the equation \((-2+\sqrt{3})(|\sqrt{x}-3|)+(x-6\sqrt{x})+(9-2\sqrt{3})=0,x⩾0,\)

then \(\sqrt{\frac{\beta }{\alpha }}+\sqrt{\alpha \beta }\) is equal to:

[JEE Main 2026, 23 Jan (Shift 1)]