Rationalize 5 ÷ (2 − √3)

Mathematics

JAMB 2015

A. 3(2 + √5)
B. 2(3 + √5)
C. 5(2 + √3)
D. 3 √2 + 1

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Correct Answer: Option C

Explanation

5÷ (2 − √3)

Using conjugate surds

[5 ÷ (2 − √3)]×(2 + √3) ÷ (2 + √3)]

[5(2+√3)÷((2− √3))2]

[5(2 +√3) ÷ (2)2− (√3)2]

[5(2 +√3) ÷(4− 3)]

= 5(2 + √3)

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Rationalize 5 ÷ (2 − √3)

Correct Answer: Option C

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