Which smallest number should be multiplied to 2592 so that the product is a perfect cube?


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[i] Find the smallest number b...

Updated On: 27-06-2022

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Text Solution

Answer : [i] `2`
[ii] `3187`

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Is 2592 a perfect cube?

Answer. so, multiplying bu 2*3^2 = 18 will make 2592 a perfect cube...

Which 2592 be multiplied so that the product is a perfect square?

Hence, 2592 should be multiplied by 2 to make it a perfect square.

Is 2592 a perfect square?

Answer. 2592 is not a perfect square.

How do you find the smallest number to multiply to get a perfect cube?

Hence, the smallest number by which 100 must be multiplied to obtain a perfect cube is 2×5=10.

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