Find smallest number to divide 704, to obtain perfect cube - Class 8 - Ex 6.1

part 2 - Ex 6.1, 3 (v) - Ex 6.1 - Serial order wise - Chapter 6 Class 8 Cubes and Cube Roots

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Ex 6.1, 3 Find the smallest number by which each of the following numbers must be divided to obtain a perfect cube. (v) 704 We see that 704 = 2 × 2 × 2 × 2 × 2 × 2 × 11 Since 11 does not occur in triplets, ∴ 704 is not a perfect cube. So, we divide by 11 to make triplet So, our number becomes 704 × 𝟏/𝟏𝟏 = 2 × 2 × 2 × 2 × 2 × 2 × 11 × 𝟏/𝟏𝟏 = 2 × 2 × 2 × 2 × 2 × 2 Now, it becomes a perfect cube. So, we divide 704 by 11 to make it a perfect cube

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