This introduction covers The Exact Truth 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 1 of 14 in this topic. Use this introduction to connect the idea to the wider topic before moving on to questions and flashcards.
Topic position
Section 1 of 14
Practice
14 questions
Recall
22 flashcards
The Exact Truth
When ancient Greek mathematicians discovered that the diagonal of a unit square has length √2, they found a number that couldn't be written as a fraction. This discovery shook mathematics! Today, we keep these 'irrational' numbers in their exact root form - called surds - because they're more precise than any decimal approximation. Engineers use surds for exact calculations in bridge designs, physicists for quantum mechanics, and even your phone's GPS calculations involve surds.