WAEC Further Mathematics 2023 Question 1

Question 1

Surds

Express 3/(3 − √6) in the form x + m√y.

  1. A.3 + 3√6
  2. B.3 + √6
  3. C.3 − √6
  4. D.3 − 3√6
Show the answer and explanation

Answer: B (3 + √6)

Explanation

Multiply top and bottom by (3 + √6): 3(3 + √6)/(9 − 6) = 3 + √6.