Use identity: a³ – b³ = (a–b)(a² + ab + b²), a² – b² = (a–b)(a + b). (i) has largest numbers and cube difference. So, 67³ – 66³ is the greatest. Class 8 Mathematics Ganita Prakash A Square and A ...
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Yes: 1331 → 11³ 4913 → 17³ 12167 → 23³ 32768 → 32³ The cube roots are guessed by memorising cube tables or checking ending digits and nearby cube ranges. Class 8 Mathematics Textbook Chapter 1 A Square and A Cube ...
(i) False – cube of odd is odd. (ii) False – 2³ = 8. (iii) True – 5³ = 125. (iv) True – 99³ = 970299 (v) False – cube numbers (unless cube of square) have even factors. Class 8 Mathematics ...
Prime factorisation of 1323 = 3³ × 7². To make it a cube, we need one more 7. So, multiply by 7. 1323 × 7 = 9261 and 9261 = 21³. So, required number = 7. Class 8 Mathematics Textbook Chapter ...
27000 = 30³, so cube root is 30. 10648 = 22³, so cube root is 22. We find this either by prime factorisation or by recognising these as perfect cubes. Both values are exact and whole numbers. Class 8 NCERT Ganita ...