Question

If x = under root 7 + under root 3 show that x - 4 / x = 2 / 3.​

Answer 1

$x = \sqrt{7} + \sqrt{3} \\ \\ \frac{1}{x} = \frac{ \sqrt{7} - \sqrt{3} }{4} \\ \\ \\ \\ \\ x - \frac{4}{x} = (\sqrt{7} + \sqrt{3} ) - 4( \frac{ \sqrt{7} - \sqrt{3} }{4}) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: = \sqrt{7} + \sqrt{3} - \sqrt{7} + \sqrt{3} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 \sqrt{3}$