1. 3.3
Simplifying Radicals
Objectives:
To simplify radicals.

2. Roots nth root of a Index SIMPLIFY Radical Sign Radicand
(means principal root)

3. Product and Quotient Properties of Radicals

4. Method 1 Steps for Simplifying Roots
1) Find the largest perfect square that is a factor of the number
2) Write the factor pair under the square root
3) Separate into two square roots
4) We choose a perfect square because we know its square root is an integer.
5) Imply multiplication

5. Method 2 Steps for Simplifying Roots
1) Prime factor the radicand
2) Write the prime factorization under the radical sign
3) Find any and all pairs if a square root, triples if a cube root, and so on
4) Pull out each pair as a single
5) Drop the pair

6. Method 1 Steps for Simplifying Roots
1) Find the largest perfect square that is a factor of the number
2) Write the factor pair under the square root
3) Separate into two square roots
4) We choose a perfect square because we know its square root is an integer.
5) Imply multiplication

7. Method 1 Steps for Simplifying Roots
1) Find the largest perfect square that is a factor of the number
2) Write the factor pair under the square root
3) Separate into two square roots
4) We choose a perfect square because we know its square root is an integer.
5) Imply multiplication

8. You try!

9. You try!

10. You try!

11. You try!

12. Assignment
3.3 Worksheet