Question

x= 7+4√3 find x +1/x

Answer 1

$x = 7 + 4 \sqrt{3 } find \:x + 1 \div x \\ x = 7 + 4 \sqrt{3} \: and \: \\ \frac{1}{x } = \frac{1}{7 + 4 \sqrt{3 } } \times \frac{7 - 4 \sqrt{3} }{7 - 4 \sqrt{3 } } \\ = \frac{7 - 4 \sqrt{3} }{49 - 48} \\ = 7 + 4 \sqrt{3} - 7 - 4 \sqrt{3} \\ = 0$