Prove that $7\sqrt{5}$ is Irrational | Class 10 Maths Chapter 1 (Real Numbers) | Ex 1.2 Q3(ii) NCERT

Welcome back to CBSE Maths Guruji! 📚 In this video, we are continuing with Class 10 Maths Chapter 1: Real Numbers. We will be solving Exercise 1.2, Question 3 (ii) and learning the exact steps to "Prove that $7\sqrt{5}$ is irrational."When an irrational number is multiplied by a rational number, the proof requires a specific approach. We will use the Method of Contradiction to solve this quickly and logically. This is a very common board exam question, and I will show you how to write the perfect answer to guarantee full marks!What you will learn in this video:✅ How to handle a rational number multiplied by an irrational root✅ Setting up the initial assumption: $7\sqrt{5} = \frac{p}{q}$✅ Isolating the irrational part: $\sqrt{5} = \frac{p}{7q}$✅ Explaining the final contradiction clearly for the examiner⏰ Timestamps:Introduction to Ex 1.2 Q3(ii)Step 1: The assumption (Let $7\sqrt{5}$ be a rational number)Step 2: Equating to $\frac{p}{q}$ and isolating $\sqrt{5}$Step 3: Why $\frac{p}{7q}$ being rational creates a contradictionFinal statement and exam writing tipsSummary and practice question📝 Homework / Practice:Try applying this exact same logic to prove that $3\sqrt{2}$ is irrational. Put your steps in the comments below!🔗 Useful Links & Playlists:👉 Class 10 Maths Chapter 1 (Real Numbers) Full Playlist: [Insert Link Here]👉 Previous Video (Prove $\frac{1}{\sqrt{2}}$ is irrational): [Insert Link Here]👉 Subscribe to CBSE Maths Guruji for complete NCERT solutions: [Insert Link Here]💡 Don't forget to:👍 LIKE this video if the step-by-step explanation made it easy!💬 COMMENT below if you have any doubts or need help with another question.🔄 SHARE this video with your Class 10 batchmates!📱 Connect With Us:Instagram: [Insert Link]Telegram Group for Free PDF Notes & Updates: [Insert Link]Hashtags:#Class10Maths #RealNumbers #CBSEMathsGuruji #NCERTSolutions #MathsChapter1 #ProveIrrational #CBSEClass10 #BoardExams2027 #MathsTricks

Видео Prove that $7\sqrt{5}$ is Irrational | Class 10 Maths Chapter 1 (Real Numbers) | Ex 1.2 Q3(ii) NCERT канала VELOCITY CHANDRAPUR