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Solving Radical Equations  Concept
Alissa Fong
Alissa Fong
MA, Stanford University
Teaching in the San Francisco Bay Area
Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts
Adding and subtracting rational expressions is similar to adding fractions. When adding and subtracting rational expressions, we find a common denominator and then add the numerators. To find a common denominator, factor each first. This strategy is especially important when the denominators are trinomials.
You guys are going to be working on solving radical equations. What that means is that you're going to have a square root and an equal sign. So I'm just going to tell you just one sentence that's going to help you know how to do these.
What you need to do is isolate the square root sign and then square both sides of the equals. If you can remember that, and if that makes sense in your head, you'll be able to do these really well. Let me tell you one more time. What you need to do is undo or isolate anything that's, you're going to isolate the square root by undoing anything that was happening to it like if it was being multiplied by something or divided by something, or adding subtracting whatever. Isolate the square root sign and then square both sides of the equals. From there you solve for x. It sounds pretty easy, you'll see your teacher is going to throw us some tricks at you. You can do it. Just make sure you're being really careful with isolating the square root before you square both sides of the equation.
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Alissa Fong
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”
Concept (1)
Sample Problems (14)
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Solving Radical Equations
Problem 1 8,864 viewsSolve:
√4x = 3 
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Problem 2 7,332 viewsSolve 2√3x + 7 − 1 = 7. Check your answer.

Solving Radical Equations
Problem 3 5,774 viewsSolve:
5√2 = x √2 − 1 √2 
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Problem 4 5,364 viewsSolve:
3 = x + √x² − 4x − 1 
Solving Radical Equations
Problem 5 666 views 
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Problem 6 616 views 
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Problem 7 715 views 
Solving Radical Equations
Problem 8 527 views 
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Problem 9 596 views 
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Problem 10 738 views 
Solving Radical Equations
Problem 11 564 views 
Solving Radical Equations
Problem 12 534 views 
Solving Radical Equations
Problem 13 615 views 
Solving Radical Equations
Problem 14 633 views
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