1. Radical Expressions N. RN
Radical Expressions N.RN.2 Rewrite expression involving radicals using operations.

2. Know your perfect squares

3. Simplify Radicals

4. Simplify Using Perfect Square Method
Step 1: Find the LARGEST perfect square that goes into 147
Step 2: simplify

5. Step 1: Find the LARGEST perfect square that goes into 605
Simplify
Step 1: Find the LARGEST perfect square that goes into 605
Step 2: Simplify

6. Simplify the following using the perfect square method
Perfect Square Factor * Other Factor = = = =
Your Turn to Try = = = = = =

7. Simplifying Radicals by Tree Method.
Simplify the following. Step 1: break the number down into a factor tree. Step 2: Circle your prime numbers 2, 3, 5, 7, 11, 13, 17, 19….. 2 10 5 2

8. Pairs go outside and share one name
So… is really just… so it ends up like this…
Pairs go outside and share one name
Singles stay inside

9. Simplify the following: Step 1: Make a factor tree
Step 2: Circle Prime Numbers
Step 3: Find pairs,
bring them outside
Step 4: Clean up with multiplying anything left 14 10 2 7 5

10. 8 Simplify the following using the tree method: 1. 2. 3. 4.
Your Turn to Try

11. Adding and Subtracting Radicals

12. Adding or Subtracting Radicals
Step 1: Simplify your terms first
Step 2: Combine your like radicands (the number under the radical).
***add or subtract the coefficients! DO NOT ADD or SUBTRACT RADICANDS****

13. Adding or Subtracting Radicals
Step 1: Simplify your terms first 6 3 2
Step 2: Combine your
like radicands (the number under the radical).
***add or subtract the coefficients! DO NOT ADD or SUBTRACT RADICANDS****

14. Step 1: Simplify your terms first
Step 2: Combine your like radicands (the number under the radical).
***add or subtract the coefficients! DO NOT ADD or SUBTRACT RADICANDS****

15. Simplify the following expressions
Your Turn to Try

16. Multiplying Radicals

17. * Multiplying Radicals To multiply radicals:
Step 1: multiply the coefficients
Step 2: multiply the radicands
Step 3: simplify the remaining radicals.
**THINK OUTSIDE OUTSIDE AND INSIDE INSIDE**

18. Multiplying Radicals
Step 1: Multiply terms outside the radical together.
Step 2: Multiply terms inside the radical together.
Step 3: Simplify.

19. Multiplying Radicals
Step 1: Multiply terms outside the radical together.
Step 2: Multiply terms inside the radical together.
Step 3: Simplify.

20. Simplify the expression:
Step 1: Multiply terms outside the radical together.
Step 2: Multiply terms inside the radical together.
Step 3: Simplify.

21. Simplify the following expressions
Your Turn to Try