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Surds, roots and irrational numbersIB MYP Maths Extended: Flashcards

What these 13 flashcards ask

  • What is a surd?
  • Is \sqrt{25} a surd?
  • What is an irrational number?
  • Which rule lets you simplify surds?
  • Simplify \sqrt{50}.
  • Simplify \sqrt{72}.
  • When can you add or subtract surds?
  • Find \sqrt{18}+\sqrt8.
  • Find \sqrt3\times\sqrt{12}.
  • Find (\sqrt5)^2.
  • Expand (3+\sqrt5)(3-\sqrt5).
  • Find \sqrt[3]{64}.
  • When should you round a surd answer to a decimal?

Exam questions on Surds, roots and irrational numbers

  1. A square tile has an area of 5050 cm2^2.
    Show that the diagonal of the tile is 1010 cm.2 marks
  2. Consider the numbers 18\sqrt{18} and 8\sqrt{8}.
    Show that 18−8=2\sqrt{18}-\sqrt{8}=\sqrt{2}.2 marks
  3. A rectangle has length (3+5)(3+\sqrt5) cm and width (3−5)(3-\sqrt5) cm.
    Find the exact area of the rectangle.3 marks
See the full worksheet

Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).