### Why use this resource?

Students have to manipulate fractions involving surds in the denominator. When these denominators are rationalised these fractions simplify and the problem becomes much easier to handle.

### Possible approach

The initial problem could be used to begin a lesson on fractions, surds and general algebraic manipulation. The follow up exercises can be used to extend the problem into a longer activity or as an extension for interested students to attempt in class or in their own time.

### Key questions

- How does symmetry help you to solve this problem?