In order to solve equations where a radical equals a constant, you first need to isolate the square root. From there, square both sides to "undo" the root, and solve for x. Once you have a solution(s), you'll need to check to make sure they're not extraneous. Any value of x that would make the radicand, or whatever is under the radical sign negative is outside of the domain, or extraneous. Here we'll see an example of a radical equation that has no solution.
Experience the 'A-Ha!' moment with the best teachers
whom we hand-picked for you!
M.A. in Secondary Mathematics, Stanford University B.S., Stanford University
Alissa has a quirky sense of humor and a relatable personality that make it easy for students to pay attention and understand the material. She has all the math tips and tricks students are looking for.
“Your tutorials are good and you have a personality as well. I hope you have more advanced college level stuff, because I like the way you teach.”
“Thanks alot for such great lectures... I never found learning this easier ever before... keep up the great work.... :)”
“You seem so kind, it's awesome. Easier to learn from people who seem to be rooting for ya!' thanks”