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JAMB Mathematics 1982 Question 1

Question 1

Surds

Rationalize the expression 1/(√2 + √5)

  1. A.⅓(√5 − √2)
  2. B.√2/2 + √5/5
  3. C.√2 − √5
  4. D.3(√2 − √5)
  5. E.⅓(√2 − √5)
Show the answer and explanation

Answer: A (⅓(√5 − √2))

Explanation

Multiply top and bottom by √2 − √5: the bottom becomes 2 − 5 = −3, so the result is (√2 − √5)/(−3) = ⅓(√5 − √2).