Answer
no solution
Work Step by Step
Raising both sides to the second power of the given equation, $
\sqrt[]{x+6}=\sqrt[]{x+2}
,$ then the solution/s is/are
\begin{array}{l}\require{cancel}
x+6=x+2
\\\\
x-x=2-6
\\\\
0=-4
\text{ (FALSE)}
.\end{array}
Since the solution above ended with a FALSE statement, then there is $\text{
no solution
.}$
