1. **Stating the problem:** Simplify the expression $\sqrt{x}288$. 2. **Understanding the expression:** The expression can be interpreted as $\sqrt{x} \times 288$. 3. **No further simplification is possible without knowing $x$.** 4. If the problem meant $\sqrt{288x}$, then we can simplify inside the square root: $$\sqrt{288x} = \sqrt{288} \times \sqrt{x}$$ 5. Factor 288 to simplify $\sqrt{288}$: $$288 = 144 \times 2$$ 6. So, $$\sqrt{288} = \sqrt{144 \times 2} = \sqrt{144} \times \sqrt{2} = 12\sqrt{2}$$ 7. Therefore, $$\sqrt{288x} = 12\sqrt{2} \times \sqrt{x} = 12\sqrt{2x}$$ **Final answer:** $12\sqrt{2x}$ if the expression is $\sqrt{288x}$, otherwise the original expression $288\sqrt{x}$ remains as is.