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AS91577 Complex numbers

Surds and radicals

AAchieved

  1. 1Rationalise the denominator of 6/(3 − √3). Write 6/(3 − √3) in the form a + b√3.Free
  2. 2k is a constant greater than 1. Rationalise the denominator of 2/(√k − 1).Free
  3. 3Expand and simplify (2√3 − 1)². Write (2√3 − 1)² in the form a + b√3.Free
  4. 4A Achieved question, in the pass🔒 Pass
  5. 5A Achieved question, in the pass🔒 Pass
  6. 6A Achieved question, in the pass🔒 Pass
  7. 7A Achieved question, in the pass🔒 Pass

MMerit

  1. 8A Merit question, in the pass🔒 Pass
  2. 9A Merit question, in the pass🔒 Pass
  3. 10A Merit question, in the pass🔒 Pass
  4. 11A Merit question, in the pass🔒 Pass

EExcellence

  1. 12A Excellence question, in the pass🔒 Pass