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operations with surds

Similar or like surds are surds with the same radicand and index.

- Addition or subtraction: You can only add or subtract similar or like surds:

- Multiplication and division: If the surds have the same index, you can do as follows:


If they don’t have the same indices, we have to look for equivalent surds with the same index, using the LCM:

- Powers:



1.- Write three equivalent surds to: 

2.- Simplify: