What is the smallest number by which 1125 has to be multiplied so that the product is a perfect cube?


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What is the smallest number by...

Updated On: 27-06-2022

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`2``3``1``7`

Answer : B

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1125 को किस सबसे छोटी संख्या से गुणा किया जाय कि गुणनफल परिपूर्ण घन हो।

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What is the smallest number by which 1125 must be multiplied so that the product becomes a perfect cube find the required cube so obtained and hence find the cube root?

So, if we divide 1125 by 9, the quotient will become a perfect cube.

What is the smallest number by which 1125 must be multiplied so that the product is a perfect cube?

So, we multiply 1125 by 3 to get a perfect cube.

What is the smallest number that 1225 must be multiplied by to make it a perfect cube?

To make it a perfect cube it must be multiplied by 5 × 7 .

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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