Class 10 Maths Chapter 1: Real Numbers Full Chapter | Fundamental Theorem, HCF, LCM & Word Problems

Описание: Welcome to Aspiring Aces! In this Class 10 Maths One Shot video, we cover Chapter 1: Real Numbers completely. If you are preparing for your CBSE Board Exams 2026, this video is a must-watch!
We discuss the Fundamental Theorem of Arithmetic, how to find HCF and LCM using Prime Factorization, and solve important word problems. Most importantly, we cover the Guaranteed 3-Mark Questions on proving irrationality (Prove root 2, 3 + 2 root 5 are irrational) step-by-step.

Topics Covered:
Fundamental Theorem of Arithmetic & Factor Trees
Relationship between LCM & HCF (LCM x HCF = Product of Numbers)
Checking if 6 to the power n can end with digit 0
Proving Composite Numbers
Word Problems on Circular Paths (LCM application)
Proof of Irrationality (root 2, root 3, 3 + 2 root 5, etc.)

Timestamps:
0:00 - Introduction & Chapter Roadmap
01:28 - What is Fundamental Theorem of Arithmetic?
02:55 - Factor Tree Method (Important for Boards)
07:33 - Prime Factorization Method
09:50 - Verification Formula: LCM x HCF = Product of Numbers
18:10 - Finding LCM & HCF by Prime Factorization
19:20 - Finding LCM when HCF is given (Important Formula)
25:20 - Check if 6 to the power n can end with digit 0
29:00 - Explain why numbers are Composite
38:15 - Circular Path Word Problem (When will they meet again?)
41:00 - Theorem: If p divides a square, then p divides a
42:30 - Most Important: Prove root 2 is Irrational (Step-by-Step)
55:45 - Prove 3 + 2 root 5 is irrational
1:01:50 - Prove 5 - root 3 is Irrational & Conclusion

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