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It often helps to isolate the radical, and then square both sides. Beware of extraneous solutions - the new equation may have solutions that are not part of the solutions of the original equation, so you definitely need to check any purported solutions with the original equation.

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7y ago
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7y ago

Raise to the inverse power of the radical.

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Q: In general when solving a radical equation should you first isolate the radical and then both sides?
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When solving a radical equation you should first isolate the radical and then?

It often helps to square both sides of the equation (or raise to some other power, such as to the power 3, if it's a cubic root).Please note that doing this may introduce additional solutions, which are not part of the original equation. When you square an equation (or raise it to some other power), you need to check whether any solutions you eventually get are also solutions of the original equation.


Why do you isolate the variable on one side the the equation when solving a linear equation?

Isolating a single variable in terms of the rest of the equation provides a solution to that variable. That is, if you know the equation that equals the variable, then you can figure out its value.


What are the first two steps in solving the radical equation square root of x-6 plus 512?

There is no equality symbol in the question and so no equation!


5x-10y plus -40 Can you solve for y?

Solving for y implies that there is an equation that needs to be rearranged to isolate y from all other variables and numbers. But there is no equation here.


What are the steps to solving a radical equation?

Details may vary depending on the equation. Quite often, you have to square both sides of the equation, to get rid of the radical sign. It may be necessary to rearrange the equation before doing this, after doing this, or both. Squaring both sides of the equation may introduce "extraneous" roots (solutions), that is, solutions that are not part of the original equation, so you have to check each solution of the second equation, to see whether it is also a solution of the first equation.

Related questions

When solving a radical equation you should first isolate the radical and then both sides?

Radical...Apex :)


What are the different steps in solvingradical equation?

The first step is produce the radical equation that needs solving.


When solving a radical equation you should first isolate the radical and then?

It often helps to square both sides of the equation (or raise to some other power, such as to the power 3, if it's a cubic root).Please note that doing this may introduce additional solutions, which are not part of the original equation. When you square an equation (or raise it to some other power), you need to check whether any solutions you eventually get are also solutions of the original equation.


What is the first step to solving for x?

That depends on the specific equation. The general idea is to "isolate" the variable, for example "x", manipulating the equation in such a way that all terms that contain "x" are on the left, and all terms that don't contain it, are on the right.


Why do you isolate the variable on one side the the equation when solving a linear equation?

Isolating a single variable in terms of the rest of the equation provides a solution to that variable. That is, if you know the equation that equals the variable, then you can figure out its value.


What are the first two steps in solving the radical equation square root of x-6 plus 512?

There is no equality symbol in the question and so no equation!


5x-10y plus -40 Can you solve for y?

Solving for y implies that there is an equation that needs to be rearranged to isolate y from all other variables and numbers. But there is no equation here.


How do you create DFD for solving general quadratic equation?

bhoosde ke ans to de


What are the steps to solving a radical equation?

Details may vary depending on the equation. Quite often, you have to square both sides of the equation, to get rid of the radical sign. It may be necessary to rearrange the equation before doing this, after doing this, or both. Squaring both sides of the equation may introduce "extraneous" roots (solutions), that is, solutions that are not part of the original equation, so you have to check each solution of the second equation, to see whether it is also a solution of the first equation.


What property of the square root is essential in order to solve any radical equation involving a square root?

The property that is essential to solving radical equations is being able to do the opposite function to the radical and to the other side of the equation. This allows you to solve for the variable. For example, sqrt (x) = 125.11 [sqrt (x)]2 = (125.11)2 x = 15652.5121


What role of operations that applies when you are solving an equation does not apply when your solving an inequality?

What role of operations that applies when you are solving an equation does not apply when your solving an inequality?"


Do you never balance and equation when solving?

No because you always keep an equation in balance when solving it