1. The problem asks to simplify the expression \(\sqrt{25x}\) assuming \(x > 0\). 2. Recall the property of square roots: \(\sqrt{ab} = \sqrt{a} \times \sqrt{b}\). 3. Apply this property: \(\sqrt{25x} = \sqrt{25} \times \sqrt{x}\). 4. Since \(\sqrt{25} = 5\), the expression becomes \(5 \times \sqrt{x}\). 5. Therefore, the simplest radical form of \(\sqrt{25x}\) is \(5\sqrt{x}\).