 # SECTION 7-3: SOLVING RADICAL EQUATIONS Solve equations that contain radicals or rational exponents.

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SECTION 7-3: SOLVING RADICAL EQUATIONS Solve equations that contain radicals or rational exponents

Solving Radical Equations  Isolate the radical on one side of the equation, if necessary.  Raise each side of the equation to the same power to eliminate the radical.  Solve the resulting equation using techniques that you learned in previous chapters.  Check your solutions.

Example 1: Solve a Radical Equation

Checkpoint:

Example 2: Solve a Radical Equaiton

Example 3: Solve an Equation with Two Radicals

Checkpoint:

Checkpoint: (continued)

Roots that do not make the original equation true. You must check each apparent solution in the original equation. Extraneous Roots

Example 4: Solve an Equation with an Extraneous Solution

Example 5: Solve an Equation with Rational Exponents

Checkpoint:

Checkpoint: Continued

Homework