Question

If
$x = 2 + \sqrt{3} \: than \: find \: x + \frac{1}{x}$
​

Answer 1

Answer:

x=2+√3

1/x= 1/(2+√3)

=(2-√3)/(2+√3)(2-√3)

=(2-√3)/(2^2-√3^2)

=(2-√3)/(4-3)

=(2-√3)/1

=2-√3

so, x+1/x=2+√3+2-√3=4

x+1/x=4