Adding Radical Expressions
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You can only add radicals that have the same radicand (the same expression inside the square root). Here's how to add them:
1) Make sure the radicands are the same. If not, you cannot add them. 2) Add the outside numbers 3) Keep the radicand (the inside) the same. Let's examine a few examples.
1) ![]() Since the radicands match, all we have to do is add 3+4 and keep the the same.2) ![]() There is an understood one in front of , so 5+1=5 and stays the same.3) ![]() Don't let negatives through you off. -2-8=-10 and stays the same.4) ![]() This one cannot be added since the radicands do not match. This is the final answer. 5) ![]() At first glance, it appears this one cannot be added. However, can be simplified. Practice: Add the radicals.
1) ![]() 2) ![]() 3) ![]() 4) ![]() 5) ![]() Answers: 1) 2) 3) 4) 5)![]() |
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Related Links: Math Algebra Factors |


the same.
, so 5+1=5 and 
stays the same.

can be simplified.





2)
3)
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