GCSE Maths (Edexcel)

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Dividing Surds

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Number Structure and Calculation

Dividing Surds

4:21 Understanding Surds
Spec N8 A4
Previous Multiplying Surds Next Adding & Subtracting Surds
  • The square root of A divided by the square root of B is equal to the square root of A divided by B
  • Example: square root of 10 divided by the square root of 2 is equal to the square root of 10 divided by 2
  • Simplify fully the square root of 60 divided by the square root of 5
  • Rewrite using the third rule for division: square root of 60 divided by 5 is equal to the square root of 12
  • Rewrite the square root of 12 as a product involving a square number: square root of 12 is equal to the square root of 4 times 3
  • Evaluate the root of a square number to get the answer: square root of 4 is 2, so the answer is 2 root 3
  • When dividing one third with a coefficient by another, divide the coefficients and the numbers in the square root
  • Example: 2 root 3 divided by 4 root 5 is equal to 2 divided by 4 times the square root of 3 divided by 5
  • Simplify fully, 10 root 8 divided by 2 root 2 is equal to 10.

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