## Intermediate Algebra (6th Edition)

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 $\text{ no solution .}$