Example 3 - Chapter 6 Class 8 Cubes and Cube Roots

Last updated at Dec. 16, 2024 by

Example 3 - Is 53240 a perfect cube? If not, then by which smallest

Example 3 - Chapter 7 Class 8 Cubes and Cube Roots - Part 2

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Example 3 Is 53240 a perfect cube? If not, then by which smallest natural number should 53240 be divided so that the quotient is a perfect cube? We see that 53240 = 2 × 2 × 2 × 5 × 11 × 11 × 11 Here, 5 does not occur in triplets ∴ 53240 is not a perfect cube. So, we divide by 5 to make triplet So, our number becomes 53240 × 𝟏/𝟓 = 2 × 2 × 2 × 5 × 11 × 11 × 11 × 𝟏/𝟓 = 2 × 2 × 2 × 11 × 11 × 11 Now, it becomes a perfect cube. So, we divide 53240 by 5 to make it a perfect cube

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo