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Simplify sqrt2 frac 1 sqrt3 sqrt2 - frac 1 sqrt3 - JAMB Mathematics 2011 Question

Simplify (2+13)(213)
A
73
B
53
C
52
D
32
correct option: b

((\sqrt2 + \frac{1}{\sqrt3})(\sqrt2 - \frac{1}{\sqrt3}))

(\sqrt4 - \frac {\sqrt2}{\sqrt3} + \frac {\sqrt2}{\sqrt3} - \frac {1}{\sqrt9})

= 2 - (\frac {1}{3})

= (\frac {16 - 1}{3})

= (\frac{5}{3})

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