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:

Exercises:

1.- Write three equivalent surds to: 

2.- Simplify:

Solutions: