If \(\tan 15^{\circ}\) and \(\tan 30^{\circ}\) are the roots of the equation \(x^2+p x+q=0\), then \(p q=\) :

\(\frac{6 \sqrt{3}+10}{\sqrt{3}}\)

\(\frac{10-6 \sqrt{3}}{3}\)

\(\frac{10+6 \sqrt{3}}{3}\)

\(\frac{10-6 \sqrt{3}}{\sqrt{3}}\)