WAEC Mathematics 2025 Objective — Question 8
Question 8 of 51 from the West African Examinations Council (WAEC) Mathematics 2025 Objective paper, with the correct answer and a full explanation.
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Given that (sqrt3 + sqrt5)/sqrt5 = x + y*sqrt15, find the value of (x+y).
- A. 1 3/5
- B. 1 2/5
- C. 1 1/5Correct
- D. 1/5
Explanation
Rationalizing: (sqrt3+sqrt5)/sqrt5 x sqrt5/sqrt5 = (sqrt15+5)/5 = 1 + (1/5)sqrt15. Comparing with x+y*sqrt15, x=1, y=1/5, so x+y = 1 + 1/5 = 1 1/5.
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