Скачать или смотреть How to Represent √5 on Number Line | Easy Geometrical Construction Using Compass & Ruler

How to Represent √5 on the Number Line | Class 9 Maths | Step-by-Step Geometric Method

In this educational video, we will learn how to represent √5 (square root of 5) on a number line using basic geometrical tools like a compass and ruler. This is an important topic in Class 9 and 10 mathematics under the chapter Real Numbers, especially when studying irrational numbers and their graphical representation.

🎯 What Will You Learn in This Video?

What is √5 and why it is considered an irrational number

How to construct √5 geometrically using the Pythagorean Theorem
A step-by-step practical method to draw and locate √5 on a number line
Visual learning to make complex concepts easy and fun
How to apply this logic to construct other square roots like √2, √3, √6

🧠 Concept in Short:
To construct √5 on the number line:
1️⃣ Start by drawing a line and marking point A (0) and point B (2 units).
2️⃣ Construct a perpendicular at point B and mark point C 1 unit high.
3️⃣ Use Pythagoras Theorem on triangle ABC: AB = 2, BC = 1 ⇒ AC = √(2² + 1²) = √5
4️⃣ With compass, cut length AC from origin to number line. That point is √5.

This construction is based on the Pythagorean Theorem, which is used to form a right-angled triangle with side lengths that result in the hypotenuse being √5 units long. This helps you accurately represent irrational numbers on a number line.

📏 Tools Needed:

Ruler
Compass
Sharp pencil
Graph sheet or plain notebook

🎓 Who Should Watch This Video?
Class 9 & 10 students (CBSE, ICSE, State Boards)
Teachers and educators
Students preparing for NTSE, Olympiads, NDA
Anyone looking to understand irrational numbers visually
Whether you're preparing for an exam or simply want to understand the concept of irrational numbers more clearly, this video offers an interactive, easy-to-follow explanation with practical illustrations.

📽️ Why This Video is Useful?

Animated step-by-step construction
Quick recap of Pythagoras Theorem
Helpful for board exam preparation
Clears concept of irrational numbers in real life
Designed to make math easy and interesting

💡 Pro Tip: Try constructing √2, √3, and √6 after mastering √5 using the same method. It will strengthen your geometric visualization.

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