Question

If x = 2 + √3 ,then X + 1/X equals

Answer 1

Answer:

answer is 4

Step-by-step explanation:

x + (1/x) = (x^2 +1)/x

substitute (2+√3) in place of x

= {(2+√3)^2 + 1}/(2+√3)

= (4+4√3 + 3 + 1)/(2+√3)

= ( 8 + 4√3)/(2+√3)

= 4*(2 + √3)/(2+√3)

= 4