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Simplify frac 12- 3 12 3 - JAMB Mathematics 2005 Question

Simplify (\frac{(√12-√3)}{(√12+√3)})

A
zero
B
1/3
C
3/5
D
1
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Correct Option: B

(\frac{(\sqrt{12}-\sqrt{3})}{(\sqrt{12}+\sqrt{3})}=\frac{\sqrt{4\times 3}-\sqrt{3}}{\sqrt{4\times 3}+\sqrt{3}}=\frac{2\sqrt{3}-\sqrt{3}}{2\sqrt{3}+\sqrt{3}}=\frac{\sqrt{3}}{3\sqrt{3}}=\frac{1}{3})

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