JAMB Mathematics 2019 Objective — Question 2

Question 2 of 40 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2019 Objective paper, with the correct answer and a full explanation.

Simplify (2√2−√3)/(√2+√3)

A. 3√6 - 7
B. 3√6 + 7Correct
C. 3√6 - 1
D. 3√6 + 1

Explanation

Rationalising by multiplying by (√2−√3)/(√2−√3): denominator becomes (√2)²−(√3)²=−1. Numerator expands to 4−2√6−√6+3=7−3√6. Dividing by −1 gives 3√6−7.

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