Question

if x =under root(7+4√3) then find the value of x+1/x=?

Answer 1

Well
$x = 7 + 4 \sqrt{3}$
And
${x}^{- 1} = \frac{1}{7 + 4 \sqrt{3} }$
Then rationalize
${x}^{ - 1}$
So after rationalizing
${x}^{ - 1} = 7 - 4 \sqrt{3}$
So
$x + {x}^{ - 1} = 14$