1. The problem is to simplify the expression $\sqrt{192}$.\n\n2. Recall the property of square roots: $\sqrt{a \times b} = \sqrt{a} \times \sqrt{b}$. We want to factor 192 into a product where one factor is a perfect square.\n\n3. Factor 192: $192 = 64 \times 3$ because $64$ is a perfect square ($8^2$).\n\n4. Apply the square root property:\n$$\sqrt{192} = \sqrt{64 \times 3} = \sqrt{64} \times \sqrt{3}$$\n\n5. Simplify $\sqrt{64}$ since $64 = 8^2$:\n$$\sqrt{64} = 8$$\n\n6. Therefore, the simplified form is:\n$$\sqrt{192} = 8 \sqrt{3}$$\n\nThis is the simplest radical form because $3$ is not a perfect square and cannot be simplified further.