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JAMB Mathematics 2008 Question 9

Question 9

Surds

If (1 + √2)/(1 − √2) is expressed in the form x + y√2, find the values of x and y.

  1. A.(−3, −2)
  2. B.(−2, 3)
  3. C.(3, 2)
  4. D.(2, −3)
Show the answer and explanation

Answer: A ((−3, −2))

Explanation

Multiply top and bottom by 1 + √2: (1 + √2)2/(1 − 2) = −(3 + 2√2) = −3 − 2√2, so x = −3, y = −2.