WAEC Further Mathematics 2009 Question 8

Question 8

Surds

Express 2/(3 − √7) in the form a + √b, where a and b are integers.

  1. A.6 + √7
  2. B.3 + √7
  3. C.3 − √7
  4. D.6 − √7
Show the answer and explanation

Answer: B (3 + √7)

Explanation

Multiply top and bottom by 3 + √7: 2(3 + √7)/(9 − 7) = 3 + √7.