A) \[2\,\,(1-\sqrt{3})\]
B) \[2\,\,(1+\sqrt{3})\]
C) \[1+\sqrt{3}\]
D) \[1-\sqrt{3}\]
Correct Answer: B
Solution :
\[\sqrt{3}x-2=2\sqrt{3}+4\] \[\sqrt{3}x=2\sqrt{3}+6\] \[x=\frac{2\sqrt{3}+6}{\sqrt{3}}\]\[\Rightarrow \]\[x=\frac{2\sqrt{3}+6}{\sqrt{3}}\times \frac{\sqrt{3}}{\sqrt{3}}\] \[=\frac{6\,\,(1+\sqrt{3})}{3}\]\[\Rightarrow \]\[x=2\,\,(1+\sqrt{3})\]
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