Question

If x = 2 + √3, find the value of x + 1/x​

Answer 1

Answer 4☺☺☺☺

Explanation:

= x + 1/x (by used x=2+√3)

= 2 + √3 + 1/2 + √3

(do lcm )

= ( (2+√3)(2+√3) + 1) / 2+√3

= (4 + 2√3 +2√3 +3 +1) / 2√3

= (4 + 4√3 + 4)/ 2+√3

= (8 + 4√3) / 2+√3

= 4(2 + √3) / 2+√3

= 4