WAEC Mathematics 1999 Question 10

Question 10

Surds

If K√28 + √63 − √7 = 0, find K.

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

Answer: B (−1)

Explanation

√28 = 2√7 and √63 = 3√7, so 2K√7 + 3√7 − √7 = 0, giving 2K = −2 and K = −1.