Question

please solve this question step by step (with full equation)

Answer 1

$\frac{ {(7 - \sqrt{3} )}^{2} + {(7 + \sqrt{3}) }^{2} }{(7 + \sqrt{3})(7 - \sqrt{3}) } \\ = \frac{49 - 14 \sqrt{3} + 3 + 49 + 14 \sqrt{3} + 3 }{49 - 3} \\ = \frac{104}{46} = \frac{52}{23}$
Comparing,
$p = \frac{52}{23 } \: \: \: q = 0$