A) \[(3\sqrt{3}x+5\sqrt{3})(2x-5\sqrt{3})\]
B) \[(3\sqrt{3}x-5\sqrt{3})(x\sqrt{3}x+1)\]
C) \[(2x+5\sqrt{3})(3\sqrt{3}x+1)\]
D) \[(2x-5\sqrt{3})(3\sqrt{3}x-1)\]
Correct Answer: D
Solution :
\[6\sqrt{3}{{x}^{2}}-47x+5\sqrt{3}=6\sqrt{3}{{x}^{2}}-45x-2x+5\sqrt{3}\] \[=3\sqrt{3}x\,\,(2x-5\sqrt{3})-1\,\,(2x-5\sqrt{3})\] \[=(2x-5\sqrt{3})(3\sqrt{3}x-1)\]
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