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Mastering Radical Equations: Steps, Solutions, and Key Concepts

This guide covers the essential techniques for solving radical equations, focusing on understanding square roots and cube roots. Learn the opposite operations for squared and cubed numbers, simplify expressions, eliminate radicals, and identify extraneous solutions. Step-by-step examples demonstrate finding all real solutions, along with practice problems to reinforce your skills. This comprehensive resource is ideal for students looking to grasp the concepts and applications of radical equations effectively.

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Mastering Radical Equations: Steps, Solutions, and Key Concepts

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  1. Grade Distribution 2.4 - Solving Radical Equations

  2. Solving Radical Equations Section 8-8 2.4 - Solving Radical Equations

  3. Key Terms • The opposite of a squared number is taking the SQUARE ROOT. • The opposite of a square root is taking the SQUARING THE NUMBER. • The opposite of a cubed number is taking the CUBE ROOT. • EXTRANEOUS solutions represents a solution that works when solving the problem but is not a valid solution to the original problem. 2.4 - Solving Radical Equations

  4. Steps • Simplify by combining like terms • Get rid of the radical by using the opposite and Find all real solutions of for the variable • Check your answer by plugging it in and list all EXTRANEOUSroots 2.4 - Solving Radical Equations

  5. Example 1 Find all real solutions of What get rids of the square root? 2.4 - Solving Radical Equations

  6. Example 1 Check Find all real solutions of 2.4 - Solving Radical Equations

  7. Example 2 Find all real solutions of What get rid of the square root? 2.4 - Solving Radical Equations

  8. Example 3 Find all real solutions of 2.4 - Solving Radical Equations

  9. Your Turn Find all real solutions of 2.4 - Solving Radical Equations

  10. Example 4 Find all real solutions of 2.4 - Solving Radical Equations

  11. Example 5 Find all real solutions of 2.4 - Solving Radical Equations

  12. Your Turn Find all real solutions of 2.4 - Solving Radical Equations

  13. Example 6 Find all real solutions of 2.4 - Solving Radical Equations

  14. Example 7 Find all real solutions of 2.4 - Solving Radical Equations

  15. Example 7 Find all real solutions of 2.4 - Solving Radical Equations

  16. Example 7 Find all real solutions of 2.4 - Solving Radical Equations

  17. Example 8 Find all real solutions of 2.4 - Solving Radical Equations

  18. Your Turn Find all real solutions of 2.4 - Solving Radical Equations

  19. Assignment Page 116 29-39 odd, 49, 51 2.4 - Solving Radical Equations

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