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"Prove that 4 + root 2 is irrational" "सिद्ध कीजिए कि 4 + √2 एक अपरिमेय संख्या है" "Class 10 Math Chapter 1 Important Questions" "Real Numbers Class 10 irrationality proof" "अपरिमेय संख्या सिद्ध करना कक्षा 10" #Class10Maths #RealNumbers #IrrationalNumbers #MathsTricks #NCERTMaths #BoardExam2026 #Mathematics #अपरिमेय_संख्या #कक्षा10गणित Class 10 Maths अपरिमेय संख्याए || Important Board Exam Question || an Irrational Number Class 10 Maths | Prove that $4 + \sqrt{2}$ is an Irrational Number | Important Board Exam Question In this video, we cover one of the most important and frequently asked questions for Class 10 Mathematics (Chapter 1: Real Numbers). We will step-by-step prove why $4 + \sqrt{2}$ is an irrational number using the method of contradiction. This concept is a "must-know" for students appearing for their board exams. We've simplified the logic so you can write the perfect answer and score full marks! 📍 What You Will Learn: • How to use the Method of Contradiction. • The relationship between Rational and Irrational numbers. • The exact steps to write this proof in your board exams. • Tips to avoid common mistakes in Chapter 1. 📝 Key Concept Covered: We start by assuming that $4 + \sqrt{2}$ is rational, which means it can be written in the form $\frac{a}{b}$. By rearranging the equation to isolate $\sqrt{2}$, we show a contradiction since a rational number cannot equal an irrational number. ________________________________________ 🏷️ Tags & Keywords: #Class10Maths #RealNumbers #BoardExams2026 #MathsImportantQuestions #IrrationalNumbers #Class10Boards #NCERTMaths #StudyTips #MathsTricks