Solving Radical Equations Practice Problems

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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$$ $

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.

=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.

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