smc

The terms are $\sqrt{3}$, $\sqrt[3]{3}$, and $\sqrt[6]{3}$, which are equivalent to $3^{\frac{3}{6}}$, $3^{\frac{2}{6}}$, and $3^{\frac{1}{6}}$. So the next term will be $3^{\frac{0}{6}}=1$, so the answer is $\boxed{1}$.