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Adding and Subtracting Radical Expressions  Problem 1
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
This problem is not too challenging for a lot of you guys because you can right away tell what the answer should probably be. If I want to simplify this, it’s a lot like combining like terms. What I’m going to do is look at the numbers outside the radicands because all of my radicands are alike. All of my radicands are 3. So my answer is just going to come from doing 8 minus 5 and then adding 10. 8 take away 5 is 3 plus 10 more is 13.
My final answer is just 13 root 3. That’s it just make sure when you do this, you’re not messing with the radicands, that’s going to stay as 3 in the answer, the only thing that’s changing is this thing that’s outside the radicand, looks kind of coefficient, but it’s really just whatever is being multiplied by that square root expression.
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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.
Sample Problems (9)
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Adding and Subtracting Radical Expressions
Problem 1 10,141 viewsSimplify:
8√3 − 5√3 + 10√3 
Adding and Subtracting Radical Expressions
Problem 2 8,763 viewsSimplify:
4√5 − 3√45 + 10√80 
Adding and Subtracting Radical Expressions
Problem 3 7,192 viewsSimplify:
√125x + 4√20x − 3√45x 
Adding and Subtracting Radical Expressions
Problem 4 6,361 viewsSimplify:
3√x + y√x + 2√y²x 
Adding and Subtracting Radical Expressions
Problem 5 1,001 views 
Adding and Subtracting Radical Expressions
Problem 6 1,254 views 
Adding and Subtracting Radical Expressions
Problem 7 842 views 
Adding and Subtracting Radical Expressions
Problem 8 661 views 
Adding and Subtracting Radical Expressions
Problem 9 685 views
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