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Adding and Subtracting Radical Expressions  Problem 9
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
Two radicals can be added if and only if they have the same number/variable(s) under the square root or radicand. Often, you will need to simplify radicals first in order to tell if they can be combined. Here, we simplify radicals and multiply by coefficients out front to see if we have "like radicands" that can be combined. The numbers outside the square roots will be added/subtracted, and the number inside the root will remain unchanged.
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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.... :)”
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Sample Problems (9)
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Adding and Subtracting Radical Expressions
Problem 1 9,682 viewsSimplify:
8√3 − 5√3 + 10√3 
Adding and Subtracting Radical Expressions
Problem 2 8,297 viewsSimplify:
4√5 − 3√45 + 10√80 
Adding and Subtracting Radical Expressions
Problem 3 6,822 viewsSimplify:
√125x + 4√20x − 3√45x 
Adding and Subtracting Radical Expressions
Problem 4 6,076 viewsSimplify:
3√x + y√x + 2√y²x 
Adding and Subtracting Radical Expressions
Problem 5 786 views 
Adding and Subtracting Radical Expressions
Problem 6 1,066 views 
Adding and Subtracting Radical Expressions
Problem 7 619 views 
Adding and Subtracting Radical Expressions
Problem 8 525 views 
Adding and Subtracting Radical Expressions
Problem 9 492 views
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