4.3 Notes : Solving Radical Equations A radical equation is an equation that contains a variable under a radical symbol The parent radical function is

Steps for Solving: 1.Isolate the radical work backwards through PEMDAS (always undo ± first) 2. Use inverse operations to undo the radical Undo square root by squaring Undo a cube root by cubing (and so on…)

Example 1: Solve

Example 2: Solve

Example 3: Solve

Example 4: Solve

Extraneous Solutions Sometimes squaring each side of an equation can produce an extraneous, or false, solution (i.e. it is not actually a solution). You must CHECK all of your answers by plugging them back into the radical equation to make sure it results in a TRUE statement

Example 5: Solve AND check

Practice: Answer ODD numbered questions – TURN IN for classwork