GCSE · Surds

Simplifying surdsExam-style questions

Why surds are kept as exact values, why √(ab) = √a × √b lets you pull square factors out, and how to collect like surds — and why √a + √b is not √(a+b).

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11 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAllLevel 3Level 4Level 5
  1. 1
    150−k=26\sqrt{150} - \sqrt{k} = 2\sqrt{6}, where kk is an integer. Work out the value of kk.
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