To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $2\times 2$ and $v_{2}$ is $4v_{2}$. Multiply $\frac{\sqrt{2}\sqrt{3}}{2\times 2}$ times $\frac{v_{2}}{v_{2}}$. Multiply $\frac{1}{v_{2}}$ times $\frac{4}{4}$.
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $4v_{2}$ and $v_{2}\times 2$ is $4v_{2}$. Multiply $\frac{1}{v_{2}\times 2}$ times $\frac{2}{2}$.