Question

If x is 2- root 3 Find value of root x+1/root x

Answer 1

x = √3 -2

1/x = 1/(√3 -2) x [(√3 + 2)/(√3 + 2)] = (√3 + 2) / (-1) = - (√3 + 2)

(x + 1/x) = (√3 - 2) - (√3 + 2)
             = - 4
(x + 1/x)2 = (-4)2 = 16.

Answer 2

The root of x+1 is 16