1. The problem is to simplify the expression $\sqrt{8}$.\n\n2. Recall the property of square roots: $\sqrt{a \times b} = \sqrt{a} \times \sqrt{b}$. This allows us to break down the radicand into factors, one of which is a perfect square.\n\n3. We can factor 8 as $8 = 4 \times 2$. Since 4 is a perfect square, this is useful.\n\n4. Apply the property: $$\sqrt{8} = \sqrt{4 \times 2} = \sqrt{4} \times \sqrt{2}.$$\n\n5. Evaluate the square root of the perfect square: $\sqrt{4} = 2$.\n\n6. Therefore, $$\sqrt{8} = 2 \times \sqrt{2} = 2\sqrt{2}.$$\n\nThis is the simplified form of $\sqrt{8}$.