This module was designed and written with you in mind. It is here to help you master the Principal Roots and Irrational Numbers. The scope of this module permits it to be used in many different learning situations. The language used recognizes the diverse vocabulary level of students. The lessons are arranged to follow the standard sequence of the course. But the order in which you read them can be changed to correspond with the textbook you are now using.

The module is divided into two lessons, namely:

• Lesson 1 – Principal Roots and its Nature (Rational or Irrational)

• Lesson 2 – Determine between what two integers the square root of a number lie.

After going through this module, you are expected to:

1. define Principal Root;

2. describe principal roots and tells whether they are rational or irrational;

3. determine between what two integers the square root of a number lie.

**Learning Competency Code: M7NS-Ig**