JAMB Mathematics 2009 Objective — Question 9

Question 9 of 50 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2009 Objective paper, with the correct answer and a full explanation.

Simplify (5+sqrt7)/(3+sqrt7)

A. 4+sqrt7
B. 4-sqrt7Correct
C. 15+sqrt7
D. 7-sqrt7

Explanation

Rationalize by multiplying numerator and denominator by (3-sqrt7): (5+sqrt7)(3-sqrt7)/[(3+sqrt7)(3-sqrt7)] = (15-5sqrt7+3sqrt7-7)/(9-7) = (8-2sqrt7)/2 = 4-sqrt7.

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