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 \geq 0, then \sqrt{\frac{\beta}{\alpha}}+\sqrt{\alpha \beta} is equal to : [23 Jan 2026 Shift 1]

Quadratic Equation and Inequalities Part 2

Section: Mathematics

Question : 7 of 93

Marks: +1, -0

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 √‌

+√αβ is equal to :

[23 Jan 2026 Shift 1]

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