Solving Radical Equations 3

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Taught by YourMathGal
  • Currently 4.0/5 Stars.
6348 views | 1 rating
Part of video series
Meets NCTM Standards:
Lesson Summary:

In this lesson, we learn how to solve radical equations that contain cube roots and square roots. The key is to isolate the radical expression and then either square or cube both sides to eliminate the radical. Once we have a polynomial equation, we can factor it and set each factor equal to zero to find the solutions. However, we must check our solutions in the original equation, as some solutions may not work due to extraneous solutions created during the squaring and cubing process.

Lesson Description:

More practice with solving radical equations.

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Questions answered by this video:
  • How do you solve a radical equation?
  • How do you solve a radical equation if there are radicals on both sides?
  • How do you solve a radical equation with cube roots?
  • What are the steps for solving a radical equation?
  • Why is it important to check solutions to a radical equation?
  • How do you solve the radical equation x + sqrt(x + 5) = 7?
  • How do you solve (cube root of 2x) + 5 = 9?
  • How do you solve (cube root of x - 4) - 5 = -7?
  • Staff Review

    • Currently 4.0/5 Stars.
    This lesson goes through some even more complicated problems, including problems with cube roots in them. This is a great bridging lesson from some simpler radical equations into more complicated equations with higher order roots in them. Also, some equations have a variable on both sides of the equation. All 3 equations solved are explained step by step.