Question

Evaluate $\sqrt{6+\sqrt{6+\sqrt{6+...}}}$

Answer 1

$y=\sqrt{6+\sqrt{6+\sqrt{6+....}}}y=\sqrt{6+y}{y}^2=6+y(y-3)(y+2)=0y=3ory=-2$

But since square root of a number can't be negative, we reject $-2$