1. **State the problem:** Simplify the expression $$\frac{\sqrt{8}}{2} - \sqrt{6}$$. 2. **Recall the properties of square roots:** - $$\sqrt{a \times b} = \sqrt{a} \times \sqrt{b}$$ - Simplify square roots by factoring out perfect squares. 3. **Simplify $$\sqrt{8}$$:** $$\sqrt{8} = \sqrt{4 \times 2} = \sqrt{4} \times \sqrt{2} = 2\sqrt{2}$$. 4. **Substitute back into the expression:** $$\frac{\sqrt{8}}{2} - \sqrt{6} = \frac{2\sqrt{2}}{2} - \sqrt{6} = \sqrt{2} - \sqrt{6}$$. 5. **Final simplified form:** $$\sqrt{2} - \sqrt{6}$$. This is the simplest form since $$\sqrt{2}$$ and $$\sqrt{6}$$ cannot be combined further.