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Prerequisites

A knowledge of the four operations from lessons N2a, N2b, N2c, N2d, N2e and N2f is assumed.
N6a – Using positive integer powers and associated real roots – roots in particular

A starting point

Drag down the slider on the right, answering each question as you go.

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)
- Worked solutions to all questions

Addition pyramid generator – suitable for use on an interactive whiteboard. Answers available.

Links to past exam and UKMT questions

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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 \(\sqrt{20}=2\sqrt{5}\)?

Unlimited practice questions: simplifying surds

With thanks to pirsquared, whose Surds worksheet is available here. Material modified and embedded here under the CC-BY-SA 3.0 license.