Solving Radical Equations – Practice Problems

Having fun while studying, practice your skills by solving these exercises!

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Solving equations with radicals in them can seem quite intimidating at first glance. But upon deeper inspection, they can be relatively easy to solve as long as you follow a few guidelines:

One must be very familiar with the following checklist of steps when solving radical equations:
1. Isolate the term or terms with the radical
2. Square both sides of the equation
3. Solve for “x”.

In isolating the radical, it might be the case that two radicals occur in an equation. Isolating them can be done by having the radicals on opposite sides of the equation, which will then get simplified further when we square both sides.

It is also important to note before solving for the variable “x”, that we just came from squaring both sides. The equation that follows can then either be a straightforward linear equation or a more challenging quadratic equation.

With these guidelines, solving equations become far less intimidating and can even become an interesting puzzle to solve.

Expressions and Equations Work with radicals and integer exponents.


Go to Video Lesson
Exercises in this Practice Problem
Help Leo recall how to solve his radical equations.
Find the right color for $x=\sqrt{2x+8}$ by solving for $x$.
Solve the radical equations.
Color in the different parts of the uniform with the right colors.
Explain how to solve radical equations.
Calculate the solutions to the given radical equations.