2.quad sqrt(6)+sqrt(6)+sqrt(6)+sqrt(6+..........oo)=

(6+sqrt(6))(6-sqrt(6))

(6 + sqrt6)(6 - sqrt6)

sqrt(6+sqrt(6+sqrt(6+sqrt(6+sqrt(6+......)))))

Evaluate : (a) sqrt(xsqrt(xsqrt(x.....oo))) (b) sqrt(6+ sqrt(6 + sqrt(6 + ......oo))) (c) sqrt(a^(3)root(3)(b sqrt(a^(3) root(3)(b.......oo))))

sqrt(6+sqrt(6+sqrt(6+sqrt(6+....................infty" times"))))=

sqrt(6+sqrt(6+sqrt(6+sqrt(6+....................infty" times"))))=

(sqrt(6)+sqrt(5)+ 1/(sqrt(6)+sqrt(5)))^2

(2 + sqrt6 )(4 + sqrt6)

(5 + sqrt6)/(5 - sqrt6)