Question

please help me
how to do this question​

Answer 1

Answer:

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Answer 2

Answer:

$x = \frac{5 - \sqrt{3} }{5 + \sqrt{3} }$

$y = \frac{5 + \sqrt{3} }{5 - \sqrt{3} }$

$x - y = \frac{5 - \sqrt{3} }{5 + \sqrt{3} } - \frac{5 + \sqrt{3} }{5 - \sqrt{3} }$

$\frac{(5 - \sqrt{3})(5 - \sqrt{3}) - (5 + \sqrt{3} )(5 + \sqrt{3}) }{ {5}^{2} - ( \sqrt{ 3})^{2} }$

$\frac{{(5 - \sqrt{3} )}^{2} - {(5 + \sqrt{3}) }^{2} }{ {5}^{2} - ( \sqrt{3})^{2} }$

$\frac{25 + 3 - 10 \sqrt{3} - 25 - 3 - 10 \sqrt{3} }{25 - 3}$

$\frac{ - 20 \sqrt{3} }{22}$

$\frac{ - 10 \sqrt{3} }{11}$

$Hence \: Proved$

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