Solve Radical Equation Worksheets

Printable “Radical Expressions/Equations” worksheets:
Simplify square roots
Rationalize denominators
Add & Subtract Radical Expressions
Multiply Radical Expressions
Divide Radical Expressions
Simplify Radical Expressions
Solve Radical Equations

Examples, solutions, videos, and worksheets to help Algebra II students learn how to solve simple radical equations and understand the possibility of extraneous solutions. Solve radical equations that contain variables on both sides.

How to solve radical equations worksheets?

A radical equation is an equation in which the variable appears inside a square root, cube root, or any other root. Solving these equations involves isolating the radical and eliminating it by raising both sides of the equation to the appropriate power.

Steps to Solve a Radical Equation

1. Isolate the Radical:
   If there’s a radical term, try to isolate it on one side of the equation.
2. Eliminate the Radical:
   Raise both sides of the equation to the power of the radical (e.g., square both sides if it’s a square root, cube both sides for a cube root).
3. Simplify:
   Solve the resulting equation, which is usually a linear or quadratic equation.
4. Check for Extraneous Solutions:
   Substituting the solutions back into the original equation is necessary because raising to a power can introduce extraneous solutions.

Tips for Solving Radical Equations

1. Check for Extraneous Solutions: Always substitute solutions back into the original equation to ensure they do not violate the equation.
2. Isolate Radicals Carefully: If there are multiple radicals, isolate one at a time. Use Quadratic Formula When Necessary: After eliminating the radical, you may encounter a quadratic equation.

Have a look at this video if you need to review how to Solve Radical Equation.

• Solve Radical Equation

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More Rational Equation Worksheets

Printable
(Answers on the second page.)
Solve Radical Equation Worksheet #1
Solve Radical Equation Worksheet #2
Solve Radical Equation Worksheet #3
Variables on both sides
Solve Radical Equation Worksheet #4
Solve Radical Equation Worksheet #5
Solve Radical Equation Worksheet #6

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