WAEC Mathematics 2018 Question 1

Question 1

Surds

Simplify: √108 + √125 − √75

  1. A.√3 + 5√5
  2. B.6√3 − 5√5
  3. C.6√3 + √2
  4. D.6√3 − √2
Show the answer and explanation

Answer: A (√3 + 5√5)

Explanation

√108 = 6√3, √125 = 5√5 and √75 = 5√3, so the sum is 6√3 + 5√5 − 5√3 = √3 + 5√5.