WAEC Mathematics 2020 Question 8

Question 8

Surds

Given that (√3 + √5)/√5 = x + y√15, find the value of (x + y).

  1. A.1⅗
  2. B.1⅖
  3. C.1⅕
  4. D.⅕
Show the answer and explanation

Answer: C (1⅕)

Explanation

(√3 + √5)/√5 = √3/√5 + 1 = √15/5 + 1. So x = 1, y = 1/5 and x + y = 1⅕.