Find the value of whole root of 6+root 6+root 6+....... .

Answer 1

x=√(6+√(6+√(6+...
x^2 = 6+√(6+√(6+√(6+...
x^2 = 6+x
x^2-x-6 = 0
(x-3)(x+2)=0
x = 3