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Chapter 7 Class 8 Cubes and Cube Roots
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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 is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.