Education Technology

Irrational Patterns

Activity Overview

In this activity students explore decimal approximations to sequences of continued square-roots. Students identify which patterns will approximate to integer results.


  • Use recursive techniques
  • Use nested square-roots
  • Identify Irrational numbers


  • Irrational
  • Rational
  • Recursive

About the Lesson

Students explore decimal approximations through sequences of continued square-roots and identify which continued square-roots result in integers.