JAMB Mathematics 2021 Objective — Question 31

Question 31 of 40 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2021 Objective paper, with the correct answer and a full explanation.

31. Rationalize (2√5+√3)/(√5-√3) (a) (4√5+11)/2 (b) (3√5-11)/2 (c) 3√5-11 (d) 3√5+11

A. (4√5+11)/2Correct
B. (3√5-11)/2
C. 3√5-11
D. 3√5+11

Explanation

Multiply numerator and denominator by the conjugate (√5+√3): the denominator becomes (√5)²-(√3)² = 2, and expanding the numerator and simplifying leads to the rationalised form given in option (a).

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