Class 9 Maths | Ganita Manjari Part 2 | Ex 9.1 Q5 | Perfect Squares | Propositions and Converses

📚 Class 9 Maths Ganita Manjari Part 2 | Chapter 9 | Exercise 9.1 Question 5 Solution Welcome to our Class 9 Maths series based on the new NCERT textbook Ganita Manjari Part II for the 2026–27 academic session! In this video, we solve Exercise 9.1, Question 5 from Chapter 9 – Propositions and their Converses with an easy, step-by-step explanation. 📝 Question 5: “If a and b are perfect squares, then ab is a perfect square.” 📖 What you will learn: ✅ Understand the given mathematical proposition. ✅ Frame the converse of the statement. ✅ Determine whether the proposition and its converse are true or false. ✅ Understand the properties of perfect squares. ✅ Learn how to prove that the product of two perfect squares is a perfect square. ✅ Understand counterexamples and mathematical reasoning. 💡 Key concept: If a = m² and b = n², then: ab = m² × n² = (mn)² Therefore, ab is also a perfect square. The converse is: If ab is a perfect square, then a and b are perfect squares. This converse is false. For example, a = 2 and b = 8 give ab = 16, which is a perfect square, even though neither 2 nor 8 is a perfect square. 🎯 This video is useful for: • Class 9 Maths students • Ganita Manjari Part II learners • Students following the NCERT 2026–27 syllabus • School examinations, homework and revision 👍 Like this video if the explanation helps you. 💬 Comment your doubts and questions below. 🔔 Subscribe for more Class 9 Maths solutions and chapter-wise explanations. 📌 Book: Ganita Manjari Part II 📌 Chapter 9: Propositions and their Converses 📌 Exercise Set 9.1 – Question 5 #Class9Maths #GanitaManjari #Exercise91 #PerfectSquares #NCERTMaths