How to Represent Irrational Numbers on a Number Line (Step-by-Step) | √2, √3, √5 on Number Line
Struggling to understand how to represent irrational numbers like √2, √3, √5, or √17 on a number line?
In this video, I break it down in the simplest possible way using the Pythagoras Theorem so you can actually see how these numbers are constructed step by step.
Here’s what you’ll learn:
→ How to construct √2 on a number line
→ Easy method to get √3 and √5
→ How to use a compass correctly
→ The exact NCERT approach for exams
→ A smart trick to represent any √n value
This is one of those concepts that looks confusing at first, but once you understand the logic, it becomes super easy and even fun.
If you’re in Class 9 or 10, this topic is important for your exams—so make sure you watch till the end and follow along.
⏱️ Timestamps:-
00:00 → Introduction
00:48 → Understanding Pythagoras Theorem
01:21 → Why This Concept Matters
01:51 → Drawing the Number Line
02:24 → Constructing √2
03:37 → What are Irrational Numbers
04:07 → Using Compass Method
05:22 → Marking √2 on Number Line
06:00 → Quick Recap of √2
06:43 → Constructing √3
07:57 → Step-by-Step √3 Explanation
09:13 → Marking √3
09:50 → NCERT Method Explained
10:28 → Constructing √5
11:48 → Shortcut for Any Number
12:22 → Constructing √17
12:58 → General Rule (n and n-1 Concept)
13:42 → Example: √13
15:27 → Final Recap
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