Question

find a and b, where a and b are rational numbers
$\frac{5 + 2 \sqrt{3} }{7 + \sqrt{3} } = a - \sqrt{3b }$
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Answer 1

Answer:

$5 + 2 \sqrt{3} \times 7 - \sqrt{3} \div 7 - \sqrt{3} \times 7 + \sqrt{3} \\ = 35 - 5 \sqrt{3} + 14 \sqrt{3} - 6 \div 49 - 3 \\ = 29 + 9 \sqrt{3} \div 45$

Therefore a=29/45 and b=9/45

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Answer 2

Step-by-step explanation:

a = 29/45.

b=9/45.

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