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Answer bta do yaro m usee follow karunga

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\frac{5  + 2 \sqrt{3} }{7 + 4 \sqrt{3} }  = a - b \sqrt{3}  \\  \frac{5  + 2 \sqrt{3} }{7 + 4 \sqrt{3} }   \times  \frac{7 - 4 \sqrt{3} }{7  -  4 \sqrt{3} }    = a - b \sqrt{3} \\   \frac{35 - 20 \sqrt{3}  + 14 \sqrt{3} - 24 }{7 {}^{2} - 4 {}^{2}   \times 3}  = a - b \sqrt{3} \\ \frac{11 - 6 \sqrt{3} }{49 - 48}  = a - b \sqrt{3} \\ 11  - 6 \sqrt{3}  = a - b \sqrt{3} \\ thus \: a = 11 \\ and \:  \: b = 6



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