MA05-03 Maths Watch
Simplifying surds (Higher)
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In this lesson
In this video you'll learn about simplifying surds (higher) for GCSE Maths, with worked examples and the mistakes examiners report. By the end you'll be able to simplify a surd by splitting it into the product of its largest square factor and a remaining surd, and simplify the result of multiplying two surds together.
What it covers
- 1:11 Simplifying surds (higher)
- 2:41 The method
- 4:16 Stress test root 180
- 5:56 Multiplying surds
- 7:24 Exam technique
- 9:54 What's next
Key words
For: AQA GCSE 8300, Edexcel GCSE 1MA1, Eduqas GCSE C300, Cambridge IGCSE 0580, Edexcel IGCSE 4MA1, OCR GCSE J560
On the specification
| Board | Spec | Statement |
|---|---|---|
| AQA GCSE 8300 | N8 | Calculate exactly with fractions |
| Edexcel GCSE 1MA1 | N8 | Calculate exactly with fractions and multiples of π |
| Eduqas GCSE C300 | HN8 | Calculate exactly with fractions, surds and multiples of π; simplify surd expressions involving squares (e.g. √12 = √(4 × 3) = √4 × √3 = 2√3) and rationalise denominators |
| Cambridge IGCSE 0580 | E1.18 | Understand and use surds, including simplifying expressions. |
| Edexcel IGCSE 4MA1 | H1.4A | Understand the meaning of surds |
| Edexcel IGCSE 4MA1 | H1.4B | Manipulate surds, including rationalising a denominator |
| OCR GCSE J560 | 3.03a | Use fractions in exact calculations without a calculator. |
| OCR GCSE J560 | 3.03b | Simplify expressions with surds, including rationalising denominators. |
For teachers
This GCSE Maths lesson teaches simplifying surds (Higher). By the end, students should be able to simplify a surd by splitting it into the product of its largest square factor and a remaining surd, and simplify the result of multiplying two surds together. It works through three worked examples and the mistakes examiners report.