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Chapter 7 Class 8 Cubes and Cube Roots
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Example 5 - Is 68600 a perfect cube? If not, find smallest number by

Example 5 - Chapter 7 Class 8 Cubes and Cube Roots - Part 2

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Example 5 Is 68600 a perfect cube? If not, find the smallest number by which 68600 must be multiplied to get a perfect cube. We see that 68600 = 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 Since 5 does not occur in triplets, ∴ 68600 is not a perfect cube. So, we multiply by 5 to make triplet So, our number becomes 68600 × 5 = 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 5 = 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 Now, it becomes a perfect cube. So, we multiply 68600 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 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.