WAEC Further Mathematics 2022 Question 2

Question 2

Surds

Simplify: ((3√6 + √54)/(√5(3√5)))−1

  1. A.5√3/6
  2. B.3√15/6
  3. C.5√6/12
  4. D.5√3/12
Show the answer and explanation

Answer: C (5√6/12)

Explanation

√54 = 3√6, so the fraction is 6√6/15 = 2√6/5. Its reciprocal is 5/(2√6) = 5√6/12.