GCSE Maths (AQA)

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Number Structure and Calculation

Adding & Subtracting Surds

5:03 Surd Problems
Spec N8 A4
Previous Dividing Surds Next Expanding Double Brackets with Surds
  • Adding or subtracting thirds can simplify expressions
  • To simplify, the roots must be the same
  • Two rules for simplifying: B root A plus C root A equals B plus C root A, and B root A minus C root A equals B minus C root A
  • Practice example: Simplify root 75 minus root 27 to 5 root 3 minus 3 root 3
  • Multiple third manipulation rules may be required in a question
  • Final example: Simplify 3 root 7 plus the square root of 49 plus root 7 to 7 plus 4 root 7

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