Which of the options given below correctly describes the nature of the roots of the quadratic equation $$x^2+4√3 x+3=0?$$​​

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Correct option is D

​Given:

Equation:$$x^2 + 4\sqrt{3}x + 3 = 0$$​​

Formula Used:

Discriminant (D): $$D = b^2 - 4ac$$​​

Solution: ​

Here , from the equation :$$x^2 + 4\sqrt{3}x + 3 = 0$$​

$$a = 1, b = 4\sqrt{3}, c = 3$$ 

Then, 

$$D = (4\sqrt{3})^2 - 4(1)(3) = 48 - 12 = 36$$​

Since D > 0 but not a perfect square, roots are rational and unequal.