1. Adding and Subtracting Square Roots

2. Simplifying Square Roots Flow Chart
Given a square root
that is NOT a perfect
Square.
Break it down into its
Factors
Find a factor that is a
PERFECT SQUARE
Separate into two
separate radicals.
Take the
square root of the
PERFECT SQUARE,
Multiply the answer
to the Perfect Square
by the radical that was
not a perfect square.

3. Always make sure the number under the radical is in simplest form by….
Asking yourself…
Can I simplify this radical any further?
Are there any factors of the number that are perfect squares?
***Always makes sure the number can not be further factored by 4, 9, 16, 25, 36,….etc.

4. Just as you ADD the LIKE TERM of X…. You ADD the LIKE TERM of ….
When ADDING and SUBTRACTING Square Roots…..it is very similar to ADDING and SUBTACTING LIKE TERMS.
Just as you ADD the LIKE TERM of X….
COEFFICIENTS
You ADD the LIKE TERM of ….
LIKE TERMS

5. Adding and Subtracting Square Roots Flow Chart
Make sure all Square
Roots are in Simplest
Form.
Simplify all
Square Roots
Check for LIKE TERMS
Add/Subtract the
COEFFICIENTS
ONLY ADD or
SUBTRACT
Terms that have the
SAME Square ROOT!
Once you Combine
Like Terms,
You place the new
Coefficient in front of
The Square Root.

6. You try these!

7. You try these!