Roots are written using a radical sign. If there is no denotation, it is implied that you are finding the square root. Otherwise, a number will appear denoting which root to solve for. Any expression containing a radical is called a radical expression.
The best way to solve an equation, is to start by simplifying it as much as possible. You want to start by getting rid of the radical. Do this by treating the radical as if it where a variable. Isolate it on one side and go from there.
Let's look at how to do it step-by-step:
1. Isolate the radical on one side of the equation.
2. Get rid of your radical (some of the rules listed below may help in this).
3. Repeat steps 1&2 if you have another radical.
4. Solve the remaining equation.
5. Double check equation by plugging in your answer.
And remember, always treat each side of the equation the same, here's some helpful reminders for general equation solving: Figure 1.
Some helpful rules:
Let's run through an example:
Solve the following:
1. Isolate the radical (already done).
2. Get rid of the radical:
No more radicals? Great, solve for x: