7c)++Solving+Radical+Equations

A radical equation is an equation in which at least one variable expression is stuck inside a radical, usually a square root. The radical in radical equations can be any root, whether a square root, a cube root, or some other root. It is found by first isolating the radical on one side of the equation. Then, you raise each side to the power of your root to cancel out the radical, leaving you with a linear, quadratic, or polynomial equation. Once you have one of the equations solve/ factor as you normally would and then check. This section will teach you how to solve: normal radical equations, radical equations with functions, equations with rational exponents, extraneous solutions, and equations with two radicals. An extraneous solution is an apparent solution that must be rejected because it does not satisfy the original equation.

A standard radical equation looks like this:

Helpful Links: [|Link 1] [|Algebra lab]

Here Are Some Sample Equations...