When more than one radical term is present we must repeat the first two steps of our procedure in order to eliminate both radicals.
Example
Solve for x:
Step 1 Isolate a radical term.
Square both sides.
Write the right side as a product.
Since a radical is still present, we repeat Steps 1 and 2. That is, we isolate the radical and then apply the Principle of Powers.
Subtract 19 from both sides.
Step 4 Check the solution.
x
= 6
So, the solution is x = 6.