Target Mathematics
HomeTextbookQuizHomework SubmissionYearly Past PapersTopic QuestionsEnrollmentContactDashboardProfile

Course

  • Add Math 0606
  • FPM 4PM1

Add Math 0606 topics

  • 1. Functions55
  • 2. Simultaneous equations and quadratics34
  • 2. Quadratic functions35
  • 3. Factors and polynomials61
  • 4. Equations, inequalities and graphs127
  • 5. Logarithmic and exponential functions86
  • 6. Straight-line graphs107
  • 7. Coordinate geometry of the circle6
  • 8. Circular measure68
  • 9. Trigonometry180
  • 10. Permutations and combinations55
  • 11. Series99
  • 12. Calculus — Differentiation 185
  • 13. Vectors51
  • 14. Calculus — Differentiation 261
  • 15. Calculus — Integration92
  • 16. Kinematics42
  • Indices and surds39

Study tools

  • Add Math 0606 overview
  • Formula summary
Additional Mathematics 0606 / Trigonometry / 3.65

3.65: Rationalising a surd expression

0606/21/O/N/21 — Question 4 · 5 marks

· ·
Find rational values of aaa and bbb such that 15+2+15−2=a+b5\dfrac{1}{\sqrt{5}+2} + \dfrac{1}{\sqrt{5}-2} = a + b\sqrt{5}5​+21​+5​−21​=a+b5​.
[5]
← 3.64: Horizontal tangents to a sine curve3.66: Derivative of tan squared →
Target Mathematics · Topic questions and official mark schemes