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 ...
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Successive differences of perfect cubes eventually become equal at the third level. This shows that cubes grow at a rate where third-order differences are constant, which is why they’re called third-degree polynomials in algebra. Class 8 NCERT Ganita Prakash Chapter 1 ...
Square numbers always end in 0, 1, 4, 5, 6 or 9. No square ends in 2, 3, 7 or 8. Also, squares are formed by adding consecutive odd numbers starting from 1. Only squares have odd number of factors. Class ...