Answer
See graph
Work Step by Step
$$\frac{x^2}{3}+\frac{y^2}{3}=2$$
$$x^2+y^2=6$$
This is a circle with center (0,0) and radius of $\sqrt6$.
Points ot plot are:
$$(0,\sqrt6)$$
$$(0,-\sqrt6)$$
$$(\sqrt6,0)$$
$$(-\sqrt6,0)$$
Approximate these values using a calculator, plot on a graph, and connect with a smooth circle.