Question

solve this question ​

Answer 1

$\frac{7 + \sqrt{5} }{7 - \sqrt{5} } = \frac{(7 + \sqrt{5} )(7 + \sqrt{5}) }{(7 - \sqrt{5} )(7 + \sqrt{5} )}$

$= \frac{( {7 + \sqrt{5}) }^{2} }{49 - 5}$

$= \frac{49 + 5 + 2 \sqrt{5} }{44}$

$= \frac{54}{44} + \frac{2 \sqrt{5} }{44}$

hence, a=54/44=27/22

b=-2/44=-1/22