3. In this question you must show all stages of your working. Solutions relying on calculator technology are not acceptable.
- Show that \(\frac { \sqrt { 180 } - \sqrt { 80 } } { \sqrt { 5 } }\) is an integer and find its value.
- Simplify
$$\frac { 4 \sqrt { 5 } - 5 } { 7 - 3 \sqrt { 5 } }$$
giving your answer in the form \(a + b \sqrt { 5 }\) where \(a\) and \(b\) are rational numbers.