Which of the following is the correct ordering of 2\sqrt{13},4\sqrt{3},5\sqrt{2} and3\sqrt{6} ?
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A2\sqrt{13}\lt3\sqrt{6}\lt5\sqrt{2}\lt4\sqrt{3}
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B3\sqrt{6}\lt5\sqrt{2}\lt4\sqrt{3}\lt2\sqrt{13}
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C4\sqrt{3}\lt5\sqrt{2}\lt2\sqrt{13}\lt3\sqrt{6}
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D5\sqrt{2}\lt4\sqrt{3}\lt3\sqrt{6}\lt2\sqrt{13}
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E2\sqrt{13}\lt3\sqrt{6}\lt4\sqrt{3}\lt5\sqrt{2}
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正确答案: C