Check my simplification of a fraction

Question

My test doesn't say much, just to "simplify" $$\frac{6\pm\sqrt{8}}{2}$$

are my answers correct? If so, how do I write them properly?

$$3+2\sqrt2\\3-2\sqrt2$$

Answer 1

You've made a slight mistake. Note that $$\frac{6\pm\sqrt8}2=\frac62\pm\frac{2\sqrt2}2=3\pm\sqrt2.$$

Answer 2

Note that $\sqrt{8}=2\sqrt{2}$ so you will get $$\frac{6+2\sqrt{2}}{2}=3+\sqrt{2}$$