Question on: JAMB Mathematics - 2015
Rationalize 5 ÷ (2 − √3)
A
3(2 + √5)
B
2(3 + √5)
C
5(2 + √3)
D
3 √2 + 1
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Correct Option: C
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)
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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