Question

Algebra 2........,..

Answer 1

Isolate the radical term by adding 6 to both sides of the equation.

`\sqrt[]{6x+6}=6`

Square both sides of the equation to eliminate the radical sign.

`6x+6=36`

Subtract 6 from both sides of the equation.

`\begin{gathered} 6x=36-6 \\ 6x=30 \end{gathered}`

Divide both sides of the equation by 6.

`\begin{gathered} (6x)/(6)=(30)/(6) \\ x=5 \end{gathered}`

Therefore, the solution of the equation is {5}.