What is the smallest number by which 686 must be multiplied so that the product is perfect cube?please tell it's really urgent
Answers
Answer:
I think 2
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
Factors of 686 is 2×7×7×7
* Here ( 2) are not in the factor of 3 .
So we have to multiply 2×2 = 4. To make it a perfect cube.
Therefore, we get 686 × 4 = 2744.
And here , factors of 2744 are 2×2×2×7×7×7.
We take common 2 and 7 (because in cube the same number which is multiply 3 times) .
Hence √2744 is 14.
Therefore, 14 is the smallest number by which 686 must be multiplied so that the product is perfect cube.
Hence it is the answer
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