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
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