Math, asked by mahender9813797049, 9 months ago

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

Answered by sahaj56
14

Answer:

I think 2

Step-by-step explanation:

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Answered by porasrajat987
26

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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