I'm never sure how far to go on these questions but I think what I'e done looks pretty nice. Essentially I simplified each radical, factored out each variable, combined the radicals after more simplification, and then picked the answer you were most likely looking for. I gave some alternatives in my work that are "simple" too, but the answer above is most likely I'd say.
Work is in the attachment, comment with any questions.
The discriminant: D = b² - 4 a c = 7² - 4· 3 · 2 = 49 - 24 = 25 D > 0 This function has 2 x-intercepts ( 2 zeroes ). x 1 = (-7+5)/6 =-1/3 x 2 = (-7-5) / 6 = - 2