Only 1089 is a perfect square; it is 33². All others—2032, 2048 and 1027—are not perfect squares because their square roots are not whole numbers. You can verify this using either a calculator or prime factorisation.
Class 8 Mathematics Chapter 1 A Square and A Cube question answer
Class 8 NCERT Ganita Prakash Chapter 1 A Square and A Cube solutions
Among the given numbers, only 1089 is a perfect square (33² = 1089). The other numbers—2032, 2048 and 1027—are not perfect squares because they don’t have whole number square roots. If you try to factor or estimate their roots, you’ll find they lie between squares, proving they’re not perfect squares. So, the correct answer is: Only 1089 is a perfect square; the rest are not.
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