Example 2 - Is 392 a perfect cube? If not, find the smallest natural

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


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Example 2 Is 392 a perfect cube? If not, find the smallest natural number by which 392 must be multiplied so that the product is a perfect cube. We see that 392 = 2 × 2 × 2 × 7 × 7 Since 7 does not occur in triplets, ∴ 392 is not a perfect cube. So, we multiply by 7 to make triplet So, our number becomes 392 × 7 = 2 × 2 × 2 × 7 × 7 × 7 Now, it becomes a perfect cube. So, we multiply 392 by 7 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, Social Science, Physics, Chemistry, Computer Science at Teachoo.