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A "radical" equation is an equation in which at least one variable expression is stuck inside a radical, usually a square root. If the instructions don't tell you that you must check your answers, check them anyway.At the very least, compare your solution with a graph on your graphing calculator.On the left-hand side of this equation, I have a square root. On the right-hand side, I've got a positive number.Since both sides are known positive, squaring won't introduce extraneous solutions.Warning: Many instructors do not to show many examples (in class or in the homework) of radical equations for which the solutions don't actually work.But then they'll put one or more of these on the next test.And the best way to get rid of the 3 is to subtract 3 from the left-hand side.And of course, if I do it on the left-hand side I also have to do it on the right-hand side.When you do this-- when you square this, you get 5x plus 6. So we get x is equal to 15, but we need to make sure that this actually works for our original equation. And this is the principal root of 81 so it's positive 9.If you square the square root of 5x plus 6, you're going to get 5x plus 6. On the left-hand side, we have 5x and on the right-hand side, we have 75. We get x is equal to-- let's see, it's 15, right? Maybe this would have worked if this was the negative square root. So it's 3 plus 9 needs to be equal to 12, which is absolutely true.

• Solving Radical Equations - CliffsNotes

A radical equation is an equation in which a variable is under a radical. If there is still a radical equation, repeat steps 1 and 2; otherwise, solve the resulting. Since radicals with odd indexes can have negative answers, this problem does.…

• 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.…

• Squares and Square Roots Solving Radical Equations

A radical equation is an equation that features a variable contained inside a radicand. At least it won't get wet if it rains. An example of a radical equation is. The equation is not a radical equation, because the variable doesn't occur inside the radicand. The 5 and 9 are making it wait outside.…

• Solving Radical Equations - GitHub Pages

Radical Equations. A radical equation Any equation that contains one or more radicals with a variable in the radicand. is any equation that contains one or more radicals with a variable in the radicand. Following are some examples of radical equations, all of which will be solved in this section…

• 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.…

• Solving square-root equations one solution video Khan.

Take for example the problem in this video. If he had not. In general, when we solve radical equations, we often look for real solutions to the equations. So yes.…

Learn how to solve more challenging radical equations in this free math video tutorial by Mario's Math Tutoring. Example 1 Solving Square.…