WAEC Further Mathematics 2024 Question 1

Question 1

Surds

If 5/√2 − √8/8 = m√2, find the value of m.

  1. A.12/5
  2. B.9/4
  3. C.7/3
  4. D.5/2
Show the answer and explanation

Answer: B (9/4)

Explanation

5/√2 = 5√2/2 and √8/8 = 2√2/8 = √2/4. So 5√2/2 − √2/4 = 9√2/4 and m = 9/4.