How to Represent √5 on the Number Line 📏 | Class 9 Maths | Easy Geometry Trick

Описание: 📚 *Welcome to another exciting math concept!*
In this video, we’ll show you *how to represent √5 (root 5) on the number line* using simple **geometric construction**. This is an important topic in **Class 9 Maths**, especially from the chapter **Number Systems**.

Whether you're preparing for school exams or building your basic math skills, this video will make the concept of irrational numbers and their visualization on a number line **super easy and fun**!

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🧮 *What You’ll Learn in This Video:*

What is √5 and why it's an *irrational number*
Step-by-step *geometric construction* of √5 on the number line
Explanation with *Pythagoras Theorem*
How to represent other square roots like √2, √3, etc.

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✍️ *Construction Steps to Represent √5 on the Number Line:*

1. *Draw a number line* and mark a point O at 0 and A at 2 units to the right.
2. *Construct a perpendicular* at point A.
3. From A, measure 1 unit on the perpendicular and mark point B.
4. Join OB. Using a compass, place the pointer on O and draw an arc equal to the length OB.
5. Cut this arc on the number line. The point where the arc intersects the number line is **√5**.

📐 This method uses the **Pythagoras Theorem**, since OB² = OA² + AB² = 2² + 1² = 4 + 1 = 5, so OB = √5.

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🧠 *Why This is Important:*

Understanding how to place square roots like √5 on the number line helps visualize **irrational numbers**, a core concept in algebra and geometry. Mastering this will strengthen your **mathematical foundation**!

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