15 Find the value of a and b :5+23/7+43=a-b3

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\frac{5 + 2 \sqrt{3}}{7 + 4 \sqrt{3}}

\sqrt{3}

\frac{5 + 2 \sqrt{3}}{7 + 4 \sqrt{3}} = a - b \sqrt{3}

\frac{\sqrt{2} - 1}{\sqrt{2} + 1} = a + b \sqrt{2}

\frac{2 - \sqrt{5}}{2 + \sqrt{5}} = a \sqrt{5} + b

\frac{\sqrt{3} + \sqrt{2}}{\sqrt{3} - \sqrt{2}} = a + b \sqrt{6}

\frac{5 + 2 \sqrt{3}}{7 + 4 \sqrt{3}} = a + b \sqrt{3}

\frac{3 a + 7 b}{3 a - 7 b} = \frac{4}{3}

\frac{3 a^{2} - 7 b^{2}}{3 a^{2} + 7 b^{2}}

\frac{6}{(3 \sqrt{2} - 2 \sqrt{3})} = (a \sqrt{2} + b \sqrt{3})

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