Understanding Square Roots and Intervals

The video tutorial explains how to locate the square root of 5 on a number line. It starts by identifying that root 5 lies between root 4 (which equals 2) and root 9 (which equals 3). The interval between these whole numbers is divided into five equal parts, each representing 0.2. By adding 0.2 twice to 2, the approximate value of root 5 is calculated as 2.2. The tutorial concludes by identifying the letter C on the number line as the closest representation of root 5.

Where does the square root of 5 lie on the number line?

• Between 4 and 5

• Between 1 and 2

• Between 2 and 3

• Between 3 and 4

How many equal parts is the interval between 2 and 3 divided into?

• 6 parts

• 3 parts

• 4 parts

• 5 parts

What is the approximate value of each part when the interval between 2 and 3 is divided?

• 0.4

• 0.2

• 0.3

• 0.1

What is the approximate value of root 5 on the number line?

• 2.0

• 2.6

• 2.2

• 2.4

Which letter option most closely represents the position of root 5?

• B

• A

• D

• C