Add and Subtract Square Roots 

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Like square roots are square roots with the same radicands.  Like square roots can be added or subtracted in the same manner as like terms are added and subtracted.

Example

Unlike square roots have different radicands.  It is sometimes possible to change unlike square roots into like square roots by simplifying the radicals into an expression.  After simplifying, the terms containing the same radicand can be combined.

Example

Practice

1)  Simplify the square roots:

2)  Simplify:

3)  Simplify:

4)  Simplify:

5)  Simplify:

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Answer Key