No, he cannot cut a 15 cm square handkerchief because 15² = 225, which is more than 125. The nearest perfect square below 125 is 121 and √121 = 11. So, he can cut a handkerchief of side 11 cm. Class ...
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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 ...
64² = 4096 → ends in 6 108² = 11664 → ends in 4 292² = 85264 → ends in 4 36² = 1296 → ends in 6 So, 108² and 292² have the digit 4 at the unit’s place. Class ...
Using the identity (a+1)² = a² + 2a + 1, 126² = 125² + 2×125 + 1 = 15625 + 250 + 1 = 15625 + 251. So, the correct option is (iv) 15625 + 251. Class 8 NCERT Ganita Prakash ...
Yes. The number of unit cubes in a cube with edge length 4 units is 4 × 4 × 4 = 64. So, the cube contains 64 unit cubes arranged in 4 layers, each having 16 cubes (4 × 4). Class ...