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Example 1 : Solve the radical equation . View a video of this example Step 1 : Isolate one of the radicals. The radical in this equation is already isolated. Step 2 : Get rid of your radical sign. If you square a square root, it will disappear. This is what we want to do here so that we can get x out from under the square root and continue to solve for it. *Inverse of taking the sq. root is squaring it Step 3 : If you still have a radical left, repeat steps 1 and 2. No more radicals exist, so we do not have to repeat steps 1 and 2.
Step 4 : Solve the remaining equation. In this example, the equation that resulted from squaring both sides turned out to be a linear equation . If you need a review on solving linear equations, feel free to go to Tutorial 14: Linear Equations in One Variable . *Inverse of add. 5 is sub. 5 *Inverse of mult. by 2 is div. by 2 Step 5 : Check for extraneous solutions. Let's check to see if

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