JAMB Mathematics 2010 Objective — Question 9

Question 9 of 50 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2010 Objective paper, with the correct answer and a full explanation.

9. Rationalize (2sqrt3 + sqrt5)/(sqrt5 - sqrt3). A. 3sqrt15 +11 B. (3sqrt15+11)/2 C. 3sqrt15 -11 D. (3sqrt5-11)/2

A. 3sqrt15 +11
B. (3sqrt15+11)/2Correct
C. 3sqrt15 -11
D. (3sqrt5-11)/2

Explanation

Multiplying numerator and denominator by (sqrt5+sqrt3): result simplifies to (3sqrt15+11)/2.

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