When solving a radical equation, it is important to always check your answer by substituting the value back into the original equation.

If you get a true statement, then that value is a solution; if you get a false statement, then that value is not a solution.

Although x = −1 is shown as a solution in both graphs, squaring both sides of the equation had the effect of adding an extraneous solution, x = −6.

Again, this is why it is so important to check your answers when solving radical equations!

Sometimes you will need to solve an equation that contains multiple terms underneath a radical.

## Solving Radical Equations Practice Problems Anti-War Essays

Follow the same steps to solve these, but pay attention to a critical point—square both sides of an equation, not individual terms. Following rules is important, but so is paying attention to the math in front of you—especially when solving radical equations.Example We are to solve the following radical equation: $$\sqrt-x=0$$ First we isolate our radical: $$\sqrt=x$$ Then we square both sides and solve our equation: $

Follow the same steps to solve these, but pay attention to a critical point—square both sides of an equation, not individual terms. Following rules is important, but so is paying attention to the math in front of you—especially when solving radical equations.

Example We are to solve the following radical equation: $$\sqrt-x=0$$ First we isolate our radical: $$\sqrt=x$$ Then we square both sides and solve our equation: $$1 x^-x=x^$$ $$1-x=0$$ $$1=x$$ Lastly we plug our x into our original equation to check: $$\sqrt-1=0$$ $$\sqrt-1=0$$ $$1=1$$ The solution checks.

Solving radical equations requires applying the rules of exponents and following some basic algebraic principles.

As a member, you'll also get unlimited access to over 79,000 lessons in math, English, science, history, and more.

Plus, get practice tests, quizzes, and personalized coaching to help you succeed.

||Follow the same steps to solve these, but pay attention to a critical point—square both sides of an equation, not individual terms. Following rules is important, but so is paying attention to the math in front of you—especially when solving radical equations.Example We are to solve the following radical equation: $$\sqrt-x=0$$ First we isolate our radical: $$\sqrt=x$$ Then we square both sides and solve our equation: $$1 x^-x=x^$$ $$1-x=0$$ $$1=x$$ Lastly we plug our x into our original equation to check: $$\sqrt-1=0$$ $$\sqrt-1=0$$ $$1=1$$ The solution checks. Solving radical equations requires applying the rules of exponents and following some basic algebraic principles.As a member, you'll also get unlimited access to over 79,000 lessons in math, English, science, history, and more.Plus, get practice tests, quizzes, and personalized coaching to help you succeed.An equation that contains a radical expression is called a radical equation.Solving radical equations requires applying the rules of exponents and following some basic algebraic principles. Due to the nature of the mathematics on this site it is best views in landscape mode.If your device is not in landscape mode many of the equations will run off the side of your device (should be able to scroll to see them) and some of the menu items will be cut off due to the narrow screen width.In some cases, it also requires looking out for errors generated by raising unknown quantities to an even power.A basic strategy for solving radical equations is to isolate the radical term first, and then raise both sides of the equation to a power to remove the radical.

x^-x=x^$$ $Follow the same steps to solve these, but pay attention to a critical point—square both sides of an equation, not individual terms. Following rules is important, but so is paying attention to the math in front of you—especially when solving radical equations.

Example We are to solve the following radical equation: $$\sqrt-x=0$$ First we isolate our radical: $$\sqrt=x$$ Then we square both sides and solve our equation: $$1 x^-x=x^$$ $$1-x=0$$ $$1=x$$ Lastly we plug our x into our original equation to check: $$\sqrt-1=0$$ $$\sqrt-1=0$$ $$1=1$$ The solution checks.

Solving radical equations requires applying the rules of exponents and following some basic algebraic principles.

As a member, you'll also get unlimited access to over 79,000 lessons in math, English, science, history, and more.

Plus, get practice tests, quizzes, and personalized coaching to help you succeed.

||Follow the same steps to solve these, but pay attention to a critical point—square both sides of an equation, not individual terms. Following rules is important, but so is paying attention to the math in front of you—especially when solving radical equations.Example We are to solve the following radical equation: $$\sqrt-x=0$$ First we isolate our radical: $$\sqrt=x$$ Then we square both sides and solve our equation: $$1 x^-x=x^$$ $$1-x=0$$ $$1=x$$ Lastly we plug our x into our original equation to check: $$\sqrt-1=0$$ $$\sqrt-1=0$$ $$1=1$$ The solution checks. Solving radical equations requires applying the rules of exponents and following some basic algebraic principles.As a member, you'll also get unlimited access to over 79,000 lessons in math, English, science, history, and more.Plus, get practice tests, quizzes, and personalized coaching to help you succeed.An equation that contains a radical expression is called a radical equation.Solving radical equations requires applying the rules of exponents and following some basic algebraic principles. Due to the nature of the mathematics on this site it is best views in landscape mode.If your device is not in landscape mode many of the equations will run off the side of your device (should be able to scroll to see them) and some of the menu items will be cut off due to the narrow screen width.In some cases, it also requires looking out for errors generated by raising unknown quantities to an even power.A basic strategy for solving radical equations is to isolate the radical term first, and then raise both sides of the equation to a power to remove the radical.

-x=0$$ $Follow the same steps to solve these, but pay attention to a critical point—square both sides of an equation, not individual terms. Following rules is important, but so is paying attention to the math in front of you—especially when solving radical equations.

Example We are to solve the following radical equation: $$\sqrt-x=0$$ First we isolate our radical: $$\sqrt=x$$ Then we square both sides and solve our equation: $$1 x^-x=x^$$ $$1-x=0$$ $$1=x$$ Lastly we plug our x into our original equation to check: $$\sqrt-1=0$$ $$\sqrt-1=0$$ $$1=1$$ The solution checks.

Solving radical equations requires applying the rules of exponents and following some basic algebraic principles.

As a member, you'll also get unlimited access to over 79,000 lessons in math, English, science, history, and more.

Plus, get practice tests, quizzes, and personalized coaching to help you succeed.

||Follow the same steps to solve these, but pay attention to a critical point—square both sides of an equation, not individual terms. Following rules is important, but so is paying attention to the math in front of you—especially when solving radical equations.Example We are to solve the following radical equation: $$\sqrt-x=0$$ First we isolate our radical: $$\sqrt=x$$ Then we square both sides and solve our equation: $$1 x^-x=x^$$ $$1-x=0$$ $$1=x$$ Lastly we plug our x into our original equation to check: $$\sqrt-1=0$$ $$\sqrt-1=0$$ $$1=1$$ The solution checks. Solving radical equations requires applying the rules of exponents and following some basic algebraic principles.As a member, you'll also get unlimited access to over 79,000 lessons in math, English, science, history, and more.Plus, get practice tests, quizzes, and personalized coaching to help you succeed.An equation that contains a radical expression is called a radical equation.Solving radical equations requires applying the rules of exponents and following some basic algebraic principles. Due to the nature of the mathematics on this site it is best views in landscape mode.If your device is not in landscape mode many of the equations will run off the side of your device (should be able to scroll to see them) and some of the menu items will be cut off due to the narrow screen width.In some cases, it also requires looking out for errors generated by raising unknown quantities to an even power.A basic strategy for solving radical equations is to isolate the radical term first, and then raise both sides of the equation to a power to remove the radical.

=x$$ Lastly we plug our x into our original equation to check: $$\sqrt-1=0$$ $$\sqrt-1=0$$ $Plus, get practice tests, quizzes, and personalized coaching to help you succeed.

||

## Comments Solving Radical Equations Practice Problems

## Solving Radical Equations Steps and Examples -

Solving radical equations is not any more difficult than solving other algebraic equations. Solving radical equations is not any. solving algebra problems.…

## Solving Radical Equations - Algebra II - Varsity Tutors

Algebra 2 Practice & Prep. Study concepts, example questions & explanations for Algebra II. Share by. Solving Radical Equations Example Question #1.…

## Solving Radical Equations - Math is Fun

Solving Radical Equations. We can get rid of a square root by squaring. Or cube roots by cubing, etc. But Warning this can sometimes create "solutions" which.…

## Radical Equation Practice - MathBitsNotebookAlgebra2 - CCSS Math

Algebra 2 CCSS Lessons and Practice is a free site for students and teachers. Directions Solve the following problems dealing with radical equations.…

## Solving Radical Equations

Radical require algebraic manipulation of the equation so that the variable. work in the original equation. Radical Equations Practice Problems. Problem.…

## Algebra - Equations with Radicals Practice Problems

Apr 30, 2018. Here is a set of practice problems to accompany the Equations with Radicals section of the Solving Equations and Inequalities chapter of the.…

## Square-root equations practice Equations Khan Academy

Solve square-root equations by first arranging them and then taking the square of both sides.…

## Solve radical equations II Algebra 1 practice - IXL

Improve your math knowledge with free questions in "Solve radical equations II" and thousands of other math skills.…

## Solving Radical Equations - ChiliMath

Learning how to solve radical equations requires a lot of practice and familiarity of the different types of problems. In this lesson, the goal is to show you detailed.…

## Extraneous solutions of equations practice Khan Academy

Practice some problems that involve thinking about the conditions for obtaining extraneous solutions while solving radical equations.…