1. The problem asks to rationalise the denominators of given expressions and simplify the answers where possible. 2. Rationalising the denominator means eliminating any square roots or irrational numbers from the denominator. 3. The common method is to multiply numerator and denominator by the conjugate or an appropriate radical to make the denominator a rational number. 4. For example, if the denominator is $\sqrt{a}$, multiply numerator and denominator by $\sqrt{a}$ to get $\frac{b\sqrt{a}}{a}$. 5. If the denominator is of the form $a + \sqrt{b}$, multiply numerator and denominator by the conjugate $a - \sqrt{b}$. 6. This uses the difference of squares formula: $$(a + \sqrt{b})(a - \sqrt{b}) = a^2 - b$$ 7. After multiplying, simplify the numerator and denominator by combining like terms and reducing fractions. 8. Show all intermediate steps including the use of $\cancel{...}$ to indicate cancelled factors. Since the exact expressions to rationalise are not provided in the message, please provide the expressions or the picture mentioned to proceed with specific solutions.