This study notes covers Worked Example 1: Simplifying within Surds for GCSE Mathematics. Revise Surds in Number for GCSE Mathematics with 14 exam-style questions and 22 flashcards. This is a high-frequency topic, so it is worth revising until the explanation feels precise and repeatable. It is section 7 of 15 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.
Topic position
Section 7 of 15
Practice
14 questions
Recall
22 flashcards
Worked Example 1: Simplifying
Simplify: √48
Solution
Find square factors: 48 = 16 × 3
√48 = √(16 × 3)
= √16 × √3
= 4√3
Answer: 4√3
Keep building this topic
Read this section alongside the surrounding pages in Surds. That gives you the full topic sequence instead of a single isolated revision point.
Practice Questions for Surds
Which of these is the simplified form of √48?
Explain why it is preferable to write fractions in rationalized form rather than leaving a surd in the denominator.
Quick Recall Flashcards
14 questions on Surds — practise free
Instant marking, adaptive difficulty, and 22 spaced repetition flashcards. Free until your GCSEs.
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