Answer
Hyperboloid of two sheets.
Work Step by Step
If we rewrite the constant 2 as a radical fraction, then the equation becomes
$$ \left(\frac{x}{3}\right)^{2}-\left(\frac{y}{4}\right)^{2}-\left(\frac{z}{1/\sqrt{2}}\right)^{2}=1 $$ which is a hyperboloid of two sheets.
