Surds with the same numbers under the roots can be added or subtracted

Simplify

This is similar to collecting like terms in an expression.

will not simplify because the numbers inside the square roots, are not the same.

- Question
Simplify the following surds, if possible:

- This will not simplify because the numbers inside the square roots are not the same.

It may be necessary to simplify one or more surds in an expression first, before adding or subtracting the surds.

Simplify

Step one:

Step two:

So, is:

- Question
Simplify:

- Question
Find the exact perimeter of this shape.