The product of the roots of $$6\sqrt{3}x^2 + 3\sqrt{3} + 5x = 0$$​ is ___________.

Correct option is A

Given:

Given expression $$6\sqrt{3}x^2 + 3\sqrt{3} + 5x = 0$$​​

Formula Used:

If $$\alpha$$​ and $$\beta$$​ are roots of equation $$ax^2 + bx +c =0$$​​

Then sum of roots $$\alpha + \beta = -\frac{b}{a}$$​​

Product of roots $$\alpha\beta = \frac{c}{a}$$​​

Solution:

The given expression can be written in standard form as : $$6\sqrt{3}x^2 + 5x+ 3\sqrt{3} = 0$$​​

Then product of roots =$$\frac{3\sqrt{3}}{6\sqrt{3}} = \frac{1}{2}$$​​