I'll just do some examples
\(\sqrt2+\sqrt3\qquad \mbox{Cannot be simplified}\\ \sqrt2-\sqrt3\qquad \mbox{Cannot be simplified}\\ \sqrt2*\sqrt3=\sqrt{2*3}=\sqrt6\\ \sqrt2\div\sqrt3=\frac{\sqrt2}{\sqrt3}=\sqrt{\frac{2}{3}}\)
Although the first two cannot be simplified they are still added together. :)
You can approximate a single number answer if you want to.