passwella.
Menu

WAEC Further Mathematics 2025 Question 1

Question 1

Surds

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

  1. A.−9/11
  2. B.10/11
  3. C.19/11
  4. D.28/11
Show the answer and explanation

Answer: B (10/11)

Explanation

Multiply top and bottom by (2√5 − 3): (√5 − 3)(2√5 − 3)/(20 − 9) = (19 − 9√5)/11. So x = 19/11, y = −9/11 and x + y = 10/11.