JAMB Mathematics 2013 Question 8

Question 8

Surds

Simplify: √5(√147 − √12)/√15

  1. A.1/9
  2. B.9
  3. C.5
  4. D.1/5
Show the answer and explanation

Answer: C (5)

Explanation

√147 = 7√3 and √12 = 2√3, so the top is √5 × 5√3 = 5√15. Dividing by √15 gives 5.