Quadratic equation can be found if we know the sum of the roots and product of the roots by using the formula:
$\mathrm{x}^{2}-($ Sum of the roots) $\mathrm{x}+$ Product of roots $=0$
$\Rightarrow x^{2}-\sqrt{2} x+\frac{1}{3}=0$
$\Rightarrow 3 x^{2}-3 \sqrt{2} x+1=0$