Question

please answer with full explanation
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Answer 1

1512 = 2×2×2×3×3×7

Here the prime 7 does not occure in a group of three Hence 1512 is not a perfect cube futher 7 paper only once .

Here the prime 7 does not occure in a group of three Hence 1512 is not a perfect cube futher 7 paper only once .If we multiply the number by 7×7 then in the product 7 will also appear in a group of three and the product wil be a perfect cube

Here the prime 7 does not occure in a group of three Hence 1512 is not a perfect cube futher 7 paper only once .If we multiply the number by 7×7 then in the product 7 will also appear in a group of three and the product wil be a perfect cube Thus the smallest number by which the given number should be multipled is 7×7 ie49

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