Solving Radical Equations | Summary and Q&A

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January 26, 2018
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The Organic Chemistry Tutor
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Solving Radical Equations

TL;DR

Learn how to solve radical equations step by step with examples and check the solutions for accuracy.

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Questions & Answers

Q: How do you solve radical equations?

To solve radical equations, first eliminate the square root by squaring both sides of the equation. Then simplify the equation and solve for the variable.

Q: What should you do if there are two radicals and a number in the equation?

In such cases, move one of the radicals to the other side of the equation and then square both sides. This will help eliminate the radical and simplify the equation.

Q: How do you check the solutions to radical equations?

To check the solutions, substitute each answer back into the original equation and verify if it satisfies the equation. If it does, then the solution is correct.

Q: Is it possible to have extraneous solutions when solving radical equations?

Yes, sometimes when solving radical equations, you may obtain extraneous solutions. These are solutions that do not satisfy the original equation, and it's important to check all solutions to ensure accuracy.

Summary & Key Takeaways

  • The process of solving radical equations involves eliminating the square root by squaring both sides and simplifying the equation.

  • Moving terms between sides of the equation is a helpful strategy when dealing with radicals and numbers.

  • Factoring and applying the quadratic formula are alternative methods for solving radical equations that are difficult to factor.

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