1. **State the problem:** Simplify the expression $X = 2 \sqrt{2x - 4}$. 2. **Recall the formula and rules:** The square root of a product can be written as the product of square roots: $$\sqrt{ab} = \sqrt{a} \times \sqrt{b}$$. 3. **Simplify the radicand:** Factor the expression inside the square root: $$2x - 4 = 2(x - 2)$$ 4. **Rewrite the expression:** $$X = 2 \sqrt{2(x - 2)} = 2 \sqrt{2} \sqrt{x - 2}$$ 5. **Combine constants:** $$X = 2 \times \sqrt{2} \times \sqrt{x - 2} = 2\sqrt{2} \sqrt{x - 2}$$ 6. **Final simplified form:** $$X = 2\sqrt{2} \sqrt{x - 2}$$ This is the simplified form of the original expression, showing the coefficient and the simplified radical.