Question

please solve this question ​

Answer 1

Answer:

$3$

Step-by-step explanation:

We let $x$ be the answer, then

$x=\sqrt{6+\sqrt{6+\sqrt{6+...}}}\\x=\sqrt{6+x}\\x^2=6+x\\x^2-x-6=0\\(x+2)(x-3)=0\\x=-2(rej.),3$