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Warm up!

Warm up!. Simplify:. Solving Radical Equations. What is a radical equation? An equation that contains a radical expression with a variable in the radicand. NO. YES. YES. Inverse Operations. How would you solve the following equation? Solve by taking the SQUARE ROOT. Why?

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Warm up!

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  1. Warm up! Simplify:

  2. Solving Radical Equations What is a radical equation? An equation that contains a radical expression with a variable in the radicand. NO YES YES

  3. Inverse Operations • How would you solve the following equation? • Solve by taking the SQUARE ROOT. Why? • Square roots and Squaring are inverse operations… they “undo” eachother!

  4. Inverse Operations • So… consider this: How could you solve for x now? • Solve by doing the inverse operation: SQUARING!

  5. A Refresher on Inverses (opposites): • Opposite of Multiply is ____________ • Opposite of Add is ____________ • Opposite of Divide is ____________ • Opposite of Subtract is ____________ • Opposite of squaring is ____________ • Opposite of square rooting is ____________

  6. Steps to Solving Radical Eq’s: • Isolate the radicand – get all radicands on one side and all constants on the other. • Square both sides of the equation • Solve for x • CHECK YOUR ANSWER!!!!

  7. Solve the following radical equations:

  8. Solve. Check your answer!

  9. Solve the following radical equations:

  10. Solve the following radical equations:

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