What on Earth Are Surds??? — Simplifying Them, Step by Step | GCSE Maths · Ep 6

Simplifying surds for GCSE Maths, worked step by step: what a surd is, the one idea behind every simplification — find the biggest square factor and split — and how to write a surd back as a single root when an exam asks. Part 1 of the Surds series. This follows Episode 5 on bounds in calculations: [link to Episode 5]. New to the channel? Start with Episode 1:    • Significant Figures Made Easy | GCSE Maths...  . TIMESTAMPS 0:00 The hook — √50 without a calculator 0:08 What a surd is 0:28 Why a surd is irrational — it can't be a fraction 1:14 The one idea — split the root 1:30 Worked example — √50 1:46 Worked example — √72 and the small-factor trap 2:02 The pattern — four more, same move 2:06 Exam-style — √450 in the form a√b 2:28 Going backwards — back under one root 2:42 Try it yourself 2:49 Answers, with the working 3:00 Where the marks are lost 3:24 Recap — next up: adding & subtracting surds PRACTICE (answers in the pinned comment) 1. Simplify √48 2. Simplify √180 3. Write 5√3 as a single root 4. Simplify √32 Challenge: Simplify √288 Risolvo posts a new GCSE revision video every week — Maths, with Physics and Chemistry on the way. For Foundation and Higher students (Edexcel, AQA and OCR). Watch the full Surds series: • Ep 6 – Simplifying Surds:    • Simplifying Surds Made Easy | GCSE Maths ·...   • Ep 7 – Adding and Subtracting Surds:    • Adding & Subtracting Surds | GCSE Maths · ...   • Ep 8 – Expanding Brackets with Surds:    • Expanding Brackets with Surds Made Easy | ...   • Ep 9 – Rationalising the Denominator:    • Rationalising the Denominator Made Easy | ...   AI disclosure: This video is narrated using an AI voice. All maths content, examples and answers were prepared and checked by a human tutor. #GCSE #GCSEMaths #MathsRevision #Surds #SimplifyingSurds