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Question
Which is the smallest number which when multiplied wit 77175 will make the product a perfect cube?
Which is the smallest number which when multiplied wit 77175 will make the product a perfect cube?
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Solution
77175=3×3×5×5×7×7×7=(3×3)×(5×5)×(7×7×7)
Since, triplet of number 3 and 5 is not formed.
Thus, one 3 and one 5 is needed to complete the triplet.
So, 77175 should be multiplied by 15 to make it a perfect cube.
77175=3×3×5×5×7×7×7=(3×3)×(5×5)×(7×7×7)
Since, triplet of number 3 and 5 is not formed.
Thus, one 3 and one 5 is needed to complete the triplet.
So, 77175 should be multiplied by 15 to make it a perfect cube.Suggest Corrections
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