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Questions and Answers
What is the first step in solving a radical equation?
What is the first step in solving a radical equation?
- Acknowledge the solution if a radical remains
- Locate the radical term (correct)
- Isolate the variable by getting rid of the radical
- Make it a perfect square (if possible)
What should you do if a radical remains in the solution?
What should you do if a radical remains in the solution?
- Make it a perfect square
- Acknowledge the solution (correct)
- Check for extraneous solutions
- Get rid of the radical
Why is it important to check for extraneous solutions?
Why is it important to check for extraneous solutions?
- To ensure the solution is in simplest form
- To get rid of the radical term
- To make the solution a perfect square
- To eliminate impossible solutions (correct)
What is the purpose of making the equation a perfect square?
What is the purpose of making the equation a perfect square?
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What should you do after isolating the radical term?
What should you do after isolating the radical term?
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Study Notes
Steps to Solve Radical Equations
- Identify the radical term in the equation
- Isolate the radical term on one side of the equation
Making the Radical a Perfect Square
- Attempt to make the radical a perfect square, if possible
Isolating the Variable
- Get rid of the radical to isolate the variable
Important Reminders
- Always check for extraneous solutions
- Acknowledge the solution if a radical remains
Finalizing the Solution
- Take your time and be patient when solving radical equations
- End with a clear and concise answer
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