Solving an equation containing two radicals

In our next example, we are going to solve an equation that contains two radicals.  No matter what we do, we must always try to isolate the radical before we start to solve the equation.  It does not make a difference which radical you isolate, but isolate one of them.  Once the radical is isolated, we can square both sides of our equation.  Combine like terms.  Notice we still have a radical left over.  Isolate that radical now.  Once that radical is isolated, square both sides of the equation again.  Then we can solve the resulting quadratic equation.