Question

solve this for me
it's urgent

Answer 1

answer is 8674....hope it helps

Answer 2

$x = 9 + 4 \sqrt{5} \\ \\ \frac{1}{x} = \frac{1}{9 + 4 \sqrt{5} } \times \frac{9 - 4 \sqrt{5} }{9 - 4 \sqrt{5} } \\ \\ \frac{1}{x} = \frac{9 - 4 \sqrt{5} }{81 - 80} \\ \\ = 9 - 4 \sqrt{5}$

Now,

$x + \frac{1}{x} = 9 + 4 \sqrt{5} + 9 - 4 \sqrt{5} \\ \\ x + \frac{1}{x} = 18 \\ \\ x + \frac{1}{x} - 2 = 18 - 2 \\ \\ {( \sqrt{x} - \frac{1}{ \sqrt{x} } )}^{2} = 16 \\ \\ \sqrt{x} - \frac{1}{ \sqrt{x} } = 4$