Which of the following is the correct ordering of $$2\sqrt{13},4\sqrt{3},5\sqrt{2}$$ and$$3\sqrt{6}$$ ?
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A$$2\sqrt{13}\lt3\sqrt{6}\lt5\sqrt{2}\lt4\sqrt{3}$$
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B$$3\sqrt{6}\lt5\sqrt{2}\lt4\sqrt{3}\lt2\sqrt{13}$$
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C$$4\sqrt{3}\lt5\sqrt{2}\lt2\sqrt{13}\lt3\sqrt{6}$$
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D$$5\sqrt{2}\lt4\sqrt{3}\lt3\sqrt{6}\lt2\sqrt{13}$$
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E$$2\sqrt{13}\lt3\sqrt{6}\lt4\sqrt{3}\lt5\sqrt{2}$$
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正确答案: C