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Ex 6.1, 2 Find the smallest number by which each of the following numbers must be multiplied to obtain a perfect cube. (iv) 675 We see that 675 = 3 × 3 × 3 × 5 × 5 Since 5 does not occur in triplets, ∴ 675 is not a perfect cube. So, we multiply by 5 to make triplet So, our number becomes 675 × 5 = 3 × 3 × 3 × 5 × 5 × 5 Now, it becomes a perfect cube. So, we multiply 675 by 5 to make it a perfect cube

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Davneet Singh

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.