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Expression : $$\frac{4+3\sqrt{3}}{7+4\sqrt{3}}$$
= $$\frac{4+3\sqrt{3}}{7+4\sqrt{3}} \times \frac{7 - 4\sqrt{3}}{7 - 4\sqrt{3}}$$
= $$\frac{28 - 16\sqrt{3} + 21\sqrt{3} - 36}{49-48}$$
= $$5\sqrt{3} - 8$$
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