WAEC Further Mathematics 2007 Question 7

Question 7

Surds

Simplify √3/(√3 − 1) + √3/(√3 + 1)

  1. A.½
  2. B.½√3
  3. C.3
  4. D.2√3
Show the answer and explanation

Answer: C (3)

Explanation

Over the common denominator (√3 − 1)(√3 + 1) = 2: [√3(√3 + 1) + √3(√3 − 1)]/2 = (3 + 3)/2 = 3.