MathsYears 10–11Number

Surds introduction

Simplify surds, add and subtract surds, and rationalise simple denominators

What you'll learn

  1. 1

    Imagine you have a square with area 2. How long is each side? It's a number that, when squared, gives 2 — we call this the square root of 2, written √2.

  2. 2

    What is a surd?

  3. 3

    Use the number line to find where √2 lives. It's between 1 and 2, closer to 1.4.

  4. 4

    Let's simplify √8 together. Can we break it down?

  5. 5

    What is √12 simplified?

  6. 6

    Now you try! Simplify √18 by dragging the square tiles into a square number and the rest.

  7. 7

    Which of these is a surd?

Practise Surds introduction with Whizlo

Free AI-tutored lessons, unlimited practice questions, and progress tracking for ages 14–16. Aligned to the UK National Curriculum.