The proposition is true since square products are squares. However, the converse (“If ab is a perfect square, then a and b are perfect squares”) is false; for example, 2 × 8 = 16.
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The proposition is true since square products are squares. However, the converse (“If ab is a perfect square, then a and b are perfect squares”) is false; for example, 2 × 8 = 16.
The proposition is true because (m²)(n²) = (mn)². However, its converse statement—”If ab is a perfect square, then a and b are perfect squares”—is false. As a clear counterexample, choose a = 2 and b = 8. Their product ab = 16 is a square, yet neither 2 nor 8 is a square.
For more NCERT Solutions of Class 9 Maths Ganita Manjari Part 2 Chapter 9 Propositions and their Converses Question Answer (2026-27)
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-9/