Question

x=(2+root 5) find the value of x +1/×​

Answer 1

Answer:

$x = 2 + \sqrt{5} \\ \frac{1}{x} = \frac{1}{2 + \sqrt{5}} \\ \frac{1}{x} = \frac{1}{2 + \sqrt{5} } \times \frac{2 - \sqrt{5} }{2 - \sqrt{5} } \\ \frac{1}{x} = \frac{2 - \sqrt{5} }{4 - 5} \\ \frac{1}{x} = \sqrt{5} - 2 \\ x + \frac{1}{x} = 2 \sqrt{5}$