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JAMB Mathematics 2006 Question 23

Question 23

Surds

Rationalize 2/(6 − 5√3)

  1. A.−12/39 − 10√3/39
  2. B.12/39 − 10√3/39
  3. C.−12/39 + 10√3/39
  4. D.12/39 + 10√3/39
Show the answer and explanation

Answer: A (−12/39 − 10√3/39)

Explanation

Multiply by (6 + 5√3)/(6 + 5√3): 2(6 + 5√3)/(36 − 75) = (12 + 10√3)/(−39) = −12/39 − 10√3/39.