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#4 how to represent root 2 on number line Video Lecture - Class 9

FAQs on #4 how to represent root 2 on number line Video Lecture - Class 9

1. How can I represent root 2 on a number line?

Ans. To represent root 2 on a number line, start by drawing a number line with the origin (0) in the center. Then, mark the point 2 units to the right of the origin. Finally, draw a line segment connecting the origin to this point, which represents the square root of 2 on the number line.

2. What is the significance of representing root 2 on a number line?

Ans. Representing root 2 on a number line helps us understand the position and magnitude of this irrational number in relation to other numbers. It allows us to visualize the placement of root 2 between the integers and rational numbers, helping us comprehend its value within the number system.

3. Can the square root of 2 be expressed as a rational number?

Ans. No, the square root of 2 is an irrational number, which means it cannot be expressed as a fraction or a ratio of two integers. It is a non-repeating, non-terminating decimal that goes on infinitely without a pattern.

4. How can I estimate the value of root 2 on a number line?

Ans. To estimate the value of root 2 on a number line, you can use the Pythagorean Theorem or comparison with other known values. For example, you can approximate root 2 to be between 1.4 and 1.5, as it lies between the square roots of 1 (1) and 4 (2).

5. Why is it important to understand the representation of root 2 on a number line?

Ans. Understanding the representation of root 2 on a number line is important for various mathematical applications. It helps in solving equations involving square roots, estimating values, and visualizing the concept of irrational numbers. Additionally, it forms the foundation for comprehending other irrational numbers and their positions on the number line.

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Jan 06, 2025 Last updated

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