Radical Equations

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Objective

I can solve equations containing square roots.

Part 1 of 4

Warm-up video

Professor Dave Explains · 5:46Vetted channel

We don't generate video — this one is by Professor Dave Explains on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.

Part 2 of 4

Key concepts

3 concepts

  1. 1

    When solving equations with roots, isolate the term with the root and then square both sides to eliminate the square root.

  2. 2

    To solve equations with fractional exponents like x^(3/2) = 8, raise both sides to the reciprocal power, such as (2/3), to simplify the equation.

  3. 3

    When taking the square root to solve for x, remember that there are usually two possible solutions: a positive and a negative value.

Part 3 of 4

Practice

3 questions

1

Solve for x: √(2x - 1) = 3

2

Solve for x: (x - 3)^(2/3) = 4

Part 4 of 4

Exit ticket

Quick comprehension check

Solve for x: √(2x - 1) = 5

Sample answer included in the free materials

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