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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.