This deep dive covers Method: Rationalizing the Denominator 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 5 of 14 in this topic. Use this deep dive to connect the idea to the wider topic before moving on to questions and flashcards.
Topic position
Section 5 of 14
Practice
14 questions
Recall
22 flashcards
Method: Rationalizing the Denominator
1
Single surd: Multiply by √a/√a
2
Example: 3/√5 = 3/√5 × √5/√5 = 3√5/5
3
Two terms: Use conjugate (a+√b) → (a-√b)
4
Example: 1/(2+√3) × (2-√3)/(2-√3) = (2-√3)/1