I typed out the steps for simplifying radicals for my Algebra 2 students to glue in their interactive notebooks. When I had students write out the steps by hand last year, it took WAY too long.

## Steps for Simplifying Radicals

- Write the prime factorization of your radicand. (I teach my students to do this using the birthday cake method for prime factorization.)
- Determine the index of the radical. (Vocabulary is important here. I teach radical vocabulary using a parts of the radical graphic organizer.)
- If the index is 2, circle groups of 2 identical numbers or variables. If the index is 3, circle groups of 3 identical numbers or variables, etc.
- The number or variable from each circled group will show up outside the radical symbol 1 time.
- Anything left uncircled will remain under the radical. If everything under the radical symbol is circled, the radical symbol will disappear.
- Multiply the numbers and variables outside the radical together.

Then, we did examples of simplifying radicals in our notebooks.

## Free Download of Steps for Simplifying Radicals

Steps for Simplifying Radicals (PDF) (1041 downloads )

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## More Activities for Teaching Radicals

- Prime Numbers Chart
- Radicals Task: Which is the Smallest?
- Like Radicals Card Sort Activity
- Parts of a Radical Poster
- Prime Factorization Foldable
- Prime Factorization Graphic Organizer
- Prime Numbers Below 100 Chart
- Simplifying Radicals Puzzle
- Rationalizing the Denominator Practice Book
- Operations with Radicals Question Stack Activity
- Conjugates INB Page
- The Constant Chair Regression Activity
- Prime and Composite Numbers Chart
- Multiplying Radicals Graphic Organizer
- Vocabulary Knowledge Rating Chart
- Parts of a Radical Graphic Organizer
- Radical Clock Makeover
- Dice Activity for Reviewing Square Roots