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WAEC Further Mathematics 2025 Objective — Question 1

Question 1 of 40 from the West African Examinations Council (WAEC) Further Mathematics 2025 Objective paper, with the correct answer and a full explanation.

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If (√5-3)/(2√5+3) = x+y√5, find the value of (x+y).

  • A. -9/11
  • B. 10/11Correct
  • C. 19/11
  • D. 28/11

Explanation

Rationalise by multiplying top and bottom by the conjugate (2√5-3). This gives x=19/11 and y=-9/11, so x+y=10/11.

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