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.

$\begin{gathered} \frac{6x}{6}=\frac{30}{6} \\ x=5 \end{gathered}$

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