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# Part 1 – Simplifying expressions involving surds

Teacher resources for Part 1

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- Worksheet (with space for student work)
- Handout (slides with exercises only; 4 per page for reduced printing)

- Skills drill worksheet 1 – Simplifying surds (15 questions on one side of A4; answers included)
- Skills drill worksheet 2 – Simplifying sums and products of surds (15 questions on one side of A4; answers included)
- Skills drill worksheet 3 – Manipulating surds (15 questions on one side of A4; answers included)

Links to past exam and UKMT questions

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#### Geoboard activity

- By creating a square with an area of 2 square units and another square with an area of 8 square units, show that \(\sqrt{8}=2\sqrt{2}\).
- Can you create two squares to help illustrate that \(\sqrt{18}=3\sqrt{2}\)?
- Can you create two squares to help illustrate that \(\sqrt{20}=2\sqrt{5}\)?

# Part 2 – Rationalising denominators

In the real world

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