WAEC Mathematics 2015 Question 32

Question 32

Surds

If (√2 + √3)/√3 is simplified as m + n√6, find the value of (m + n).

  1. A.⅓
  2. B.⅔
  3. C.1⅓
  4. D.1⅔
Show the answer and explanation

Answer: C (1⅓)

Explanation

Multiply top and bottom by √3: (√6 + 3)/3 = 1 + ⅓√6, so m + n = 1 + ⅓ = 1⅓.