WAEC Further Mathematics 2023 Objective — Question 1

Question 1 of 40 from the West African Examinations Council (WAEC) Further Mathematics 2023 Objective paper, with the correct answer and a full explanation.

If 5/sqrt(2) - sqrt(8)/8 = m*sqrt(2), find the value of m.

A. 12/5
B. 9/4Correct
C. 7/3
D. 5/2

Explanation

5/sqrt(2) - sqrt(8)/8 = m*sqrt(2). Rationalising: (5/sqrt(2) x sqrt(2)/sqrt(2)) - (sqrt(4x2)/8) = m*sqrt(2) => 5sqrt(2)/2 - 2sqrt(2)/8 = m*sqrt(2) => (5/2 - 1/4)sqrt(2) = m*sqrt(2) => 9/4 sqrt(2) = m*sqrt(2). Thus m = 9/4.

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