Question

plz give the answer fastttt with process​

Answer 1

Answer:

$20) \frac{5 - \sqrt{6} }{5 + \sqrt{6} } = a - b \sqrt{6} \\ \frac{5 - \sqrt{6} }{5 + \sqrt{6} } \times \frac{5 - \sqrt{6} }{5 - \sqrt{6} } = a - b \sqrt{6} \\ \frac{(5 - \sqrt{6} )(5 - \sqrt{6}) }{(5 + \sqrt{6} )(5 - \sqrt{6} )} = a - b \sqrt{6} \\ \frac{ {(5 - \sqrt{6} )}^{2} }{ {(5)}^{2} - {( \sqrt{6}) }^{2} } = a - b \sqrt{6} \\ \frac{25 + 6 - 10 \sqrt{6} }{25 - 6} = a - b \sqrt{6} \\ \frac{31 - 10 \sqrt{6} }{19} = a - b \sqrt{6} \\ \frac{31}{19} - \frac{10 \sqrt{6} }{19} = a - b \sqrt{6} \\ a = \frac{31}{19} \: and \: b \sqrt{6} = \frac{10}{19}$