# Adding and Subtracting Radicals

How to add and subtract radicals: examples and their solutions.

## Example 1

Just like the like terms in a polynomial,

only like radicals

(terms that have the same radical)

can be added or subtracted.

3√2 and +5√2 are like terms.

So 3√2 + 5√2 = (3 + 5)√2.

2√5 and -8√5 are like terms.

So 2√5 - 8√5 = (2 - 8)√5.

## Example 2

To add and subtract these radicals,

simplify √50 and √18.

5√2, +3√2, and √2 are all like radicals.

So you can now add and subtract them.