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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 Connect with Aspiring Aces: If you are looking for expert coaching for CUET, NEET, or JEE, visit our center today! 📍 Address: A1/1, Prashant Vihar, Sector-14, Rohini, Delhi 📞 Call: 9266625029 | 011-44761030 🌐 Website: www.aspiringaces.in Follow us on Social Media: Instagram: / aspiringaces_official Facebook: https://www.facebook.com/profile.php?... Telegram: https://t.me/ASPIRINGACES Subscribe to Aspiring Aces for more Class 10 One Shot videos! Like the video if you found the explanation helpful! Comment below if you have any doubts about Real Numbers. #Class10Maths #RealNumbers #CBSEClass10 #MathsOneShot #HCFandLCM #BoardExams2026 #aspiringaces