Locating √3.5 on the Number Line
Understanding the Concept of Square Roots:
- Square root is a mathematical operation that, when applied to a number, gives the value that, when multiplied by itself, equals the original number.
- In this case, we are looking for the square root of 3.5, denoted as √3.5.

Finding the Approximate Value of √3.5:
To locate √3.5 on the number line, we first need to find its approximate value:
- √3.5 is between √3 (approximately 1.73) and √4 (exactly 2).
- Since 3.5 is closer to 4 than to 3, we can estimate that √3.5 is slightly less than halfway between 1.73 and 2.
- Therefore, √3.5 is approximately 1.87.

Locating √3.5 on the Number Line:
To visually represent √3.5 on the number line:
- Locate the point 1.87 on the number line.
- Since 1.87 is closer to 1.73 than to 2, mark a point slightly closer to 1.73 to represent √3.5.
- This point represents the square root of 3.5 on the number line.