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JAMB Mathematics 1991 Question 10

Question 10

Surds

Rationalize (2√3 + 3√2)/(3√2 − 2√3)

  1. A.5 − 2√6
  2. B.5 + 2√6
  3. C.5√3
  4. D.5
Show the answer and explanation

Answer: B (5 + 2√6)

Explanation

Multiply top and bottom by 3√2 + 2√3. The top becomes (2√3 + 3√2)2 = 30 + 12√6 and the bottom 18 − 12 = 6, giving 5 + 2√6.