Dr. Eaton teaches you how to Solve Radical Equations in this new lecture. You begin with an overview of radical equations before diving into the steps of solving a radical equation: isolating the radical and squaring both sides. After covering extraneous solutions, you are ready to tackle the four extra examples at the end.
A radical equation is an equation that contains radicals with variables in the radicand.
To solve a radical equation, isolate the radical on one side of the equation and then square both sides of the equation. This will eliminate at least one radical. If a radical remains in the new equation, repeat the process.
An extraneous solution is a value which produces a negative radicand in one or more of the radicals in the original equation. Check all potential solutions in the original equation. Exclude extraneous values from the solution set.
*These practice questions are only helpful when you work on them offline on a piece of paper and then use the solution steps function to check your answer.
Solving Radical Equations
Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.