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JAMB Mathematics 2010 Question 9

Question 9

Surds

Rationalize (2√3 + √5)/(√5 − √3)

  1. A.(3√15 + 11)/2
  2. B.(3√15 − 11)/2
  3. C.3√15 − 11
  4. D.3√15 + 11
Show the answer and explanation

Answer: A ((3√15 + 11)/2)

Explanation

Multiply top and bottom by √5 + √3: (2√15 + 6 + 5 + √15)/(5 − 3) = (3√15 + 11)/2.