### Free Educational Resources

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Author: Kendra Wheeler
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To be able to solve radical equations. Understanding how to remove a radical to make the equation similar to solve.

A list of terms and concepts covered in this learning packet.Three worked out examples on how to solve a radical equation. An example of extraneous solution and how to check your solutions back into the eqaution.

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Tutorial

## Key Terms and Concepts

Radical Equation: It is an equation that contains a radical expression with a variable in the radicand.

Solve a Radical Equation: You need to isolate the radical on one side and then square both sides of the equation.

Squaring Both Sides of an Equation: If two equations are equal, than their squares are equal.

if a = b, then a2 = b2

Example: if square root of x = 3 than the (square root of x) 2 = 32

Extraneous Solutions: Squaring both sides of the equation a=b can result in a solution of a2 = b2 that is not a solution of the original equation. Such a solution is called extraneous solution.

Remember when you square both sides of an equation, check each solution in the original equation to be sure there are no extraneous solutions.

## Examples of Solving Radical Equations

In this video there are three examples demonstrated on how to solve radical equations.