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WAEC Further Mathematics 2019 Question 4

Question 4

Surds

Rationalize: 1/(√2 + 1)

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

Answer: A (√2 − 1)

Explanation

Multiply top and bottom by (√2 − 1): (√2 − 1)/(2 − 1) = √2 − 1.