How to Verify a Radical Equation Algebraically?

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SUMMARY

The discussion focuses on verifying radical equations algebraically, specifically addressing the method to confirm that both sides of the equation are equal without the use of a calculator. Participants emphasize the importance of manipulating the equation through algebraic techniques such as squaring both sides and isolating the radical. The conversation also references a previous question on the Math Help Boards, highlighting the value of archived discussions for educational purposes.

PREREQUISITES
  • Understanding of algebraic manipulation techniques
  • Familiarity with radical expressions
  • Knowledge of squaring both sides of an equation
  • Ability to isolate variables in equations
NEXT STEPS
  • Study the process of solving radical equations in detail
  • Learn about common pitfalls in algebraic verification
  • Explore examples of radical equations and their solutions
  • Investigate the implications of extraneous solutions in radical equations
USEFUL FOR

Students, educators, and anyone interested in mastering algebraic techniques for solving and verifying radical equations.

mathdad
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Verify that both sides of the radical equation agree without using a calculator. See picture. How can this be done algebraically?

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You asked this question before:

https://mathhelpboards.com/pre-calculus-21/radical-equation-2-a-23551.html
 
It's good to know that this site keeps a record of posted questions as reference notes.
 

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