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WAEC Further Mathematics 2022 Objective — Question 2

Question 2 of 40 from the West African Examinations Council (WAEC) Further Mathematics 2022 Objective paper, with the correct answer and a full explanation.

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Simplify [ (3√6+√54) / √5(3√5) ]⁻¹.

  • A. 5√3/6
  • B. 3√15/6
  • C. 5√6/12Correct
  • D. 5√3/12

Explanation

√54=3√6, so the numerator becomes 3√6+3√6=6√6, and the denominator √5(3√5)=15. Inverting (6√6/15)⁻¹ and rationalizing gives 5√6/12.

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