Class 10 Maths - Theorem 1.3 Proof | Most Important Board Exam Question | SineCos
#Class10Maths #Theorem1.3 #cbse2026 In this video, we break down Theorem 1.3 from Class 10 Maths Chapter 1, the fundamental pillar of the Real Numbers unit. This theorem is often the "hidden key" students miss, yet it is essential for proving the irrationality of numbers like $\sqrt{2}$ and $\sqrt{5}$—which are guaranteed questions in the CBSE Board Exams. We explain the core logic—if a prime number $p$ divides $a^2$, it must also divide $a$—using simple examples and a step-by-step proof. This SineCos guide is designed to help you master the concept quickly so you can secure those vital marks with absolute confidence. We focus on the most expected exam patterns to ensure your preparation is sharp and effective for 2026. Don't let this small but powerful theorem confuse you; watch the full tutorial to see how it simplifies your entire Chapter 1 revision. Perfect for building a strong foundation, this is the only Theorem 1.3 explanation you’ll ever need to ace your finals!Why Master Theorem 1.3?The Foundation: You cannot solve "Prove $\sqrt{2}$ is irrational" without this logic.Board Favorite: Regularly featured in 2-mark and 3-mark question sets.SineCos Method: Simplified prime factorization logic that anyone can follow.Subscribe to SineCos and hit the bell icon to join our mission of making Class 10 Maths the easiest subject in your marksheet! -------------------------------------------------------------------------------------------------------------------------------------- Enjoyed the lesson? Subscribe to SineCos for more high-quality Class 10 Maths content and stay ahead in your studies. 👨🏫 About Manoj Chauhan Sir: B.Tech – IIT Delhi graduate | 18+ years of IIT-JEE teaching experience Senior Mathematics Faculty at Bansal Classes Kota, Etoos, and Vibrant Academy Mentor of AIR 1 (produced 3 times) 12, 18 & 24 | No.1 Star Educator --- 📌 Stay Connected with Manoj Chauhan Sir 💯 👉 YouTube: / @SineCosAcademy 👉 YouTube: / bestapproach 👉 Instagram: https://www.instagram.com/sinecos_official... -------------------------------------------------------------------------------------------------------------------------------------- Theorem 1.3 Class 10, Class 10 Maths Chapter 1, Theorem 1.3 Proof, NCERT Theorem 1.3 Class 10, Real Numbers Class 10 Theorem 1.3, If p divides a^2 then p divides a, Class 10 Maths Theorem 1.3 Explanation, Theorem 1.3 Class 10 NCERT Proof, Mathematics Class 10 Real Numbers, Proof of Theorem 1.3 Class 10, How to prove Theorem 1.3, Class 10 Real Numbers Important Theorems, NCERT Solutions Class 10 Maths, Theorem 1.3 explained simply, Prime factorization Theorem 1.3, CBSE Class 10 Maths Board Exam 2026, Most Important Questions Class 10 Maths, Class 10 Board Exam Guaranteed Questions, CBSE Class 10 Maths Important Theorems, Real Numbers Chapter 1 Most Expected Questions, How to score 100 in Class 10 Maths, Class 10 Maths Strategy 2026, CBSE Class 10 Preparation Tips, Important Theorem for Class 10 CBSE 2026, Class 10 Maths Previous Year Questions, Chapter 1 Class 10 Maths Important Concepts, Board Exam 2026 Most Repeated Questions, NCERT Maths Theorem Proofs, Class 10 Maths Revision 2026, SineCos Class 10 Maths, SineCos Theorem 1.3, Proving irrationality Class 10, Connection between Theorem 1.3 and 1.4, Real Numbers Chapter 1 Theorem 1.3 Proof, Is Theorem 1.3 important for boards, Theorem 1.3 Class 10 in English, Theorem 1.3 Class 10 in Hindi, Best YouTube channel for Class 10 Maths, Step by step proof of Theorem 1.3, Class 10 Maths, CBSE Board 2026, Theorem 1.3, Real Numbers Class 10, SineCos, Maths Theorems, Board Exam Prep, NCERT Maths, Study Tips Class 10, Maths Chapter 1 Theorems, CBSE 2026 Maths #Class10Maths #Theorem1.3 #RealNumbersClass10 #CBSE2026 #MathsTheorems #SineCos #Class10Preparation #BoardExam2026 #NCERTMaths #MathsShortcuts #ImportantTheorems #CBSEClass10 #MathsTricks #StudyWithSineCos #Class10BoardExam #RealNumbers #MathsSimplified #ExamGuaranteedQuestions #MathsProof #Chapter1Maths
