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Expand and simplify surd expressions

Expand and simplify expressions involving surds

5 hand-picked video lessons for this topic, each checked for relevance and clarity, graded by difficulty and labelled by depth. Press play to watch — nothing loads from YouTube until you do.

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Grade 5–8 Core 🇬🇧 UK

GCSE Maths - Surd Rules and Simplifying Expressions Containing Surds (Part 2/3) (2026/27 exams)

Cognito 395K views

Cognito walks through simplifying surd terms and expanding brackets to reach a + b√n form.

Jump to 0:23Rules for Surds: Multiply/Divide 0:57Rules for Surds: Addition/Subtraction 1:47Rules for Surds: Multiplying by Itself 2:10Example 1: Target Format (a + b√5)2:56Example 1: Simplifying Surds 5:35Example 1: Combining Simplified Terms

Grade 6–9 Core 🇬🇧 UK

Surds and Brackets - GCSE Higher Maths

1st Class Maths 130K views

Clear worked examples expanding single and double brackets with surds, then simplifying carefully.

Jump to 0:25Single Brackets 1:47Double Brackets Example 1 2:52Double Brackets Example 2 3:32Double Brackets Example 3 5:18Double Brackets Example 4

Grade 5–9 Core 🇬🇧 UK

Surds Expand and Simplify

Maths Genie 209K views

Maths Genie thoroughly works through expanding and simplifying a range of surd expressions.

Grade 6–8 Core 🇬🇧 UK

How to expand and simplify surds in brackets - GCSE exam question

3minutemaths 84K views

Quick, focused walkthrough of an exam-style expand-and-simplify surds-in-brackets question.

Grade 6–9 Core 🇬🇧 UK

Surds expanding brackets - Corbettmaths

corbettmaths 192K views

Corbettmaths shows how to expand brackets involving surds and tidy up the result.