Question

Find it value of a and b....
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Answer 1

Answer:

$consider \: \frac{7 + \sqrt{5} }{7 - \sqrt{5} } \\ = \frac{7 + \sqrt{5} }{7 - \sqrt{5} } \times \frac{7 + \sqrt{5} }{7 + \sqrt{5} } \\ = \frac{ {(7 + \sqrt{5}) }^{2} }{ {7}^{2} - {( \sqrt{5} )}^{2} } \\ = \frac{49 + 5 + 14 \sqrt{5} }{49 - 5} \\ = \frac{54 + 14 \sqrt{5} }{44} \\ = \frac{54}{44} + \frac{14 \sqrt{5} }{44} \\ = \frac{27}{22} + \frac{7}{22} \sqrt{5} \\ so \: on \: comparing \\ a \: = \frac{27}{22} \: and \: b \: = \frac{7}{22}$