Solving Radical Equations

To solve equations with a variable expression inside a radical, we first want to make sure the radical is isolated. Then we can raise both sides of the equation to a power equal to the index of the radical. Let's try to solve our equation using this method! Next, we will check for extraneous solutions. We do that by substituting $12$ for $x$ into the original equation. If the substitution produces a true statement, we know that our answer is correct. If it does not, then it is an extraneous solution. Because our substitution produced a true statement, we know that our answer, $x=12,$ is correct.