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Rationalise 2 3 5 5- 3 - JAMB Mathematics 2010 Question

Rationalise 2√3+√5
√5-√3
A
(3 √ 15 +11) / 2
B
3 √ 15 -11
C
(3 √ 15 -11) / 2
D
3 √ 15 +11
correct option: a
2√3+√5
√5-√3

=2√+√5
x√5+√3
√5+√3
√5-√3

=2√3(√5+√3)+ √5(√5+√3)
____(√5)2-(√3)2

=2√15+2(3) +5+√15
_____5 - 3


=2√15+6+5+√15
______2

=11+3√15
___2
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