1. **State the problem:** Rationalise the denominator of the fraction $$\frac{11}{\sqrt{5}}$$ and simplify the result. 2. **Formula and rule:** To rationalise a denominator containing a square root, multiply numerator and denominator by the same square root to eliminate the root from the denominator. 3. **Apply the rule:** Multiply numerator and denominator by $$\sqrt{5}$$: $$\frac{11}{\sqrt{5}} \times \frac{\sqrt{5}}{\sqrt{5}} = \frac{11 \times \sqrt{5}}{\sqrt{5} \times \sqrt{5}}$$ 4. **Simplify denominator:** Since $$\sqrt{5} \times \sqrt{5} = 5$$, the expression becomes: $$\frac{11 \sqrt{5}}{5}$$ 5. **Final answer:** The rationalised and simplified form is: $$\frac{11 \sqrt{5}}{5}$$ This is the simplest form because the denominator is now rational and the numerator is simplified.