Question

if x=7+4√3 then x+1/x is​

Answer 1

Given:

$x = 7 + 4 \sqrt{3}$

then

$x + \frac{1}{x}$

solution:

$7 + 4 \sqrt{3} + \frac{1}{7 + 4 \sqrt{3} }$

taking LCM

$\frac{(7 + 4 \sqrt{3} )(7 + 4 \sqrt{3)} + 1}{7 + 4 \sqrt{3} }$

$\frac{49 + 28 \sqrt{3} +28 \sqrt{3} + 48 }{7 + 4 \sqrt{3} }$

$\frac{97 +56\sqrt{3} }{7 + 4 \sqrt{3} }$