Simplifying Radicals can be tricky when trying to decide when to use absolute value symbols in the answer. This flowchart is designed to help students use the absolute value brackets correctly.
Includes a blank version and a typed key. Can have students complete the blank one, or can simply provided them with the filled-in version.
Created for use with Algebra 2
Chapter 6 Roots and Radical Expressions
- Section 1 Radical Functions and Rational Exponents
- Section 2 Multiplying and Dividing Radical Expressions.
Color version available upon request for no extra charge.
*Note: This is less effective when dividing even indexed radicals. Sometimes it works, other times there are extraneous solutions or more complicated relationships between the variables than accounted for. Students should consider what restrictions the variables have in the original expression to determine the necessity of absolute value symbols. Depending on your focus with this skill set, that may concern you, or you may be able to overlook it. Personally, I work the problems out before assigning and try to avoid the others. My main priority is that they understand how the even and odd variable powers interact with even powered indexes, and I don't want that to get too muddied with these special cases. =)
Please make suggestions for improvement! Let me know if you have any issues or questions and I will address them right away! =)