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JAMB Mathematics 1986 Question 13

Question 13

Surds

Simplify (1/(√5 + √3) − 1/(√5 − √3)) × 1/√3

  1. A.√3/√5
  2. B.2/√3
  3. C.−2
  4. D.−1
Show the answer and explanation

Answer: D (−1)

Explanation

Over the common denominator 5 − 3 = 2, the bracket is ((√5 − √3) − (√5 + √3))/2 = −√3. Multiplying by 1/√3 gives −1.