Question

If x = 2 + √3, then find x − 1/x

Answer 1

Answer:

x-1/x

=( x^2-1)/x

as x= 2+√3

then , x^2-1/x= (2+√3)^2-1/2+√3

= 4+3+4√3-1/(2+√3)

= (6+4√3)/(2+√3)

= 2√3(2+√3)/2+√3

= 2√3

hope this will help you