A) \[\left( x-3\sqrt{3} \right)\left( \sqrt{3}x+2 \right)\]
B) \[\left( x-3\sqrt{3} \right)\left( \sqrt{3}x-2 \right)\]
C) \[\left( x+3\sqrt{3} \right)\left( \sqrt{3}x-2 \right)\]
D) \[\left( x+3\sqrt{3} \right)\left( \sqrt{3}x+2 \right)\]
Correct Answer: D
Solution :
We have, \[\sqrt{3}{{x}^{2}}+11x+6\sqrt{3}\] \[=\sqrt{3}{{x}^{2}}+9x+2x+6\sqrt{3}\] \[=\sqrt{3}x(x+3\sqrt{3})+2(x+3\sqrt{3})\] \[=(x+3\sqrt{3})(\sqrt{3}x+2)\]
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