Question

5+root 3/ 7+ 4 root 3 = a+root 3 b

Answer 1

$\frac{5 + \sqrt{3} }{7} + 4 \sqrt{3} = a + b \sqrt{3} \\ \frac{5 + \sqrt{3} + 28 \sqrt{3} }{7} = a + b \sqrt{3} \\ \frac{5}{7} + \frac{29 \sqrt{3} }{7} = a + b \sqrt{3}$

Therefore, a = 5/7

b = 29√3/7

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