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WAEC Mathematics 2005 Question 2

Question 2

Surds

Simplify: 5/√3 − 3/√2

  1. A.1/6 (5√3 − 3√2)
  2. B.1/6 (15√3 − 6√2)
  3. C.1/6 (3√2 − √3)
  4. D.1/6 (10√3 − 9√2)
Show the answer and explanation

Answer: D (1/6 (10√3 − 9√2))

Explanation

5/√3 = 5√3/3 = 10√3/6 and 3/√2 = 3√2/2 = 9√2/6, so the difference is (10√3 − 9√2)/6.