Question

$7 \sqrt{5} \div 11 = a + b \sqrt{5}$

Answer 1

$\: 7 \sqrt{5} \: \div 11 \: = a + b \sqrt{5} \: \\ = > 7 \sqrt{5} \div 11 - b \sqrt{5} = a \\ = > \frac{7b - 11b \times 5}{11} = a \\ = > \frac{35b - 11b}{11} = a \\ = > 35b - 11b = 11a \\ = > 24b = 11a \\ a = 11 \\ b = 24$
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