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Check it outAdding and Subtracting Radical Expressions  Problem 6 161 views
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Two radicals can be added if and only if they have the same number 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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Sample Problems (9)
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Adding and Subtracting Radical Expressions
Problem 1 8,674 viewsSimplify:
8√3 − 5√3 + 10√3 
Adding and Subtracting Radical Expressions
Problem 2 7,315 viewsSimplify:
4√5 − 3√45 + 10√80 
Adding and Subtracting Radical Expressions
Problem 3 6,119 viewsSimplify:
√125x + 4√20x − 3√45x 
Adding and Subtracting Radical Expressions
Problem 4 4,933 viewsSimplify:
3√x + y√x + 2√y²x 
Adding and Subtracting Radical Expressions
Problem 5 228 views 
Adding and Subtracting Radical Expressions
Problem 6 160 views 
Adding and Subtracting Radical Expressions
Problem 7 156 views 
Adding and Subtracting Radical Expressions
Problem 8 144 views 
Adding and Subtracting Radical Expressions
Problem 9 117 views
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 Cube Roots 18,200 views
 Simplifying Radical Expressions 72,206 views
 Multiplying and Distributing Radical Expressions 27,948 views
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