Is there any way to write the expression $\displaystyle \sqrt{2}+\sqrt{3}$ in a 'simpler', or a normalized way? For example, $\displaystyle \sqrt{2}\cdot\sqrt{3}$ in a normalized form would be $\displaystyle \sqrt{6}$. This is useful if you want to compare two exrpessions with each other, write them in their normalized way and if the expression is the same then, they are equal, else they're not.