1. **Problem (c): Simplify** $\frac{3 \sqrt{22}}{\sqrt{11}}$. 2. **Formula and rules:** To simplify a fraction with square roots, use the property $\frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}$. 3. **Work:** $$\frac{3 \sqrt{22}}{\sqrt{11}} = 3 \times \frac{\sqrt{22}}{\sqrt{11}} = 3 \times \sqrt{\frac{22}{11}}$$ 4. Simplify inside the square root: $$\sqrt{\frac{22}{11}} = \sqrt{2}$$ 5. So the expression becomes: $$3 \times \sqrt{2} = 3 \sqrt{2}$$ **Final answer:** $3 \sqrt{2}$